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Proportions Solver

Solve proportions: a/b = c/d.
Enter any three values and find the missing fourth.
Cross-multiplication made easy.

Missing Value

Proportions state that two ratios are equal:

a / b = c / d

To solve for a missing value, use cross-multiplication:

a × d = b × c

Solving for each variable:

  • a = (b × c) / d
  • b = (a × d) / c
  • c = (a × d) / b
  • d = (b × c) / a

How to use: Enter any three of the four values and leave one blank. The calculator will find the missing value.

Examples:

  • If 2/3 = x/12, then x = (2 × 12) / 3 = 8
  • If 5/x = 15/9, then x = (5 × 9) / 15 = 3
  • Scale a recipe: 2 cups flour for 12 cookies, how much for 30? → 2/12 = x/30 → x = 5 cups

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