{
  "id": "fractions-solve-for-unknown-calculator",
  "version": "1.0.0",
  "name": "Fractions Solve for Unknown Calculator",
  "shortName": "Fractions Solve for Unknown",
  "description": "Solve an unknown term in an equivalent-fractions proportion a/b = c/d.",
  "category": "Math & Statistics",
  "categorySlug": "math-statistics",
  "keywords": [
    "fractions",
    "solve",
    "for",
    "unknown",
    "calculator",
    "fractions solve for unknown calculator"
  ],
  "status": "live",
  "workStatus": "pending",
  "reviewStatus": "pending",
  "migrationStatus": "new",
  "engine": "native",
  "creator": null,
  "reviewer": null,
  "quality": {
    "availability": "live",
    "technicalReviewRecord": "/reviews/fractions-solve-for-unknown-calculator.json",
    "qualifiedReview": "pending",
    "qualifiedReviewer": null,
    "qualifiedReviewDate": null,
    "formulaVersion": "1.0.0",
    "referenceCoverage": "references-pending",
    "releaseTestScope": "Catalog and regression checks are not a professional formula audit; consult release evidence.",
    "historicalMetadataDate": "2026-09-01",
    "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
  },
  "urls": {
    "page": "/calculator/fractions-solve-for-unknown-calculator/",
    "definition": "/calculator/fractions-solve-for-unknown-calculator/definition.json",
    "schema": "/calculator/fractions-solve-for-unknown-calculator/schema.json",
    "llms": "/calculator/fractions-solve-for-unknown-calculator/llms.txt",
    "legacyDefinition": "/calculator/fractions-solve-for-unknown-calculator.json"
  },
  "queryExample": "https://askcalculators.com/calculator/fractions-solve-for-unknown-calculator/?unknown=d&a=3&b=4&c=9&d=12",
  "queryParameters": {
    "unknown": {
      "label": "Unknown term",
      "type": "select",
      "required": true,
      "default": "d"
    },
    "a": {
      "label": "a",
      "type": "number",
      "required": true,
      "default": 3
    },
    "b": {
      "label": "b",
      "type": "number",
      "required": true,
      "default": 4
    },
    "c": {
      "label": "c",
      "type": "number",
      "required": true,
      "default": 9
    },
    "d": {
      "label": "d",
      "type": "number",
      "required": true,
      "default": 12
    }
  },
  "inputs": [
    {
      "id": "unknown",
      "label": "Unknown term",
      "type": "select",
      "required": true,
      "defaultValue": "d",
      "options": [
        {
          "label": "a in a/b = c/d",
          "value": "a"
        },
        {
          "label": "b in a/b = c/d",
          "value": "b"
        },
        {
          "label": "c in a/b = c/d",
          "value": "c"
        },
        {
          "label": "d in a/b = c/d",
          "value": "d"
        }
      ]
    },
    {
      "id": "a",
      "label": "a",
      "type": "number",
      "required": true,
      "defaultValue": 3,
      "step": 1
    },
    {
      "id": "b",
      "label": "b",
      "type": "number",
      "required": true,
      "defaultValue": 4,
      "step": 1
    },
    {
      "id": "c",
      "label": "c",
      "type": "number",
      "required": true,
      "defaultValue": 9,
      "step": 1
    },
    {
      "id": "d",
      "label": "d",
      "type": "number",
      "required": true,
      "defaultValue": 12,
      "step": 1
    }
  ],
  "outputs": [
    {
      "id": "solution",
      "label": "Unknown value",
      "format": "number",
      "primary": true,
      "digits": 12
    },
    {
      "id": "equation",
      "label": "Completed proportion",
      "format": "text"
    },
    {
      "id": "crossProducts",
      "label": "Cross-products check",
      "format": "text"
    }
  ],
  "formula": {
    "expression": "a/b = c/d, so ad = bc"
  },
  "examples": [
    {
      "label": "Reproducible default-input example (not a personal recommendation)",
      "inputs": {
        "unknown": "d",
        "a": 3,
        "b": 4,
        "c": 9,
        "d": 12
      }
    }
  ],
  "sources": []
}