Math

Proportion Calculator

Solve a proportion of the form a/b = c/d when one of the four values is unknown.

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Proportion Calculator

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Fractions, Ratios & Proportions

Fraction arithmetic, decimal-to-fraction conversion, ratios and proportions.

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How to use this proportion calculator

Enter the values requested above and select Calculate. Change any input to compare another scenario. The calculation runs locally in your browser and does not require an account.

Formula and method

Cross multiplication gives a×d = b×c. Rearrange that equation to solve for the missing value.

Example

If 3/4 = x/20, then x = 15.

What this calculator is useful for

Solve a proportion of the form a/b = c/d when one of the four values is unknown. The result is intended for quick estimates, checking arithmetic and comparing scenarios. When a result affects a contract, tax filing, medical decision, building-code requirement or other high-stakes situation, verify the result with the appropriate professional or authoritative source.

Solve a missing term by cross multiplication

If 3/4 = c/20, cross multiplication gives 4c = 3 × 20, so c = 15. Select c as the missing term; the calculator solves the equation while treating that input as unknown.

Check before trusting the result: the denominators of a valid proportion cannot be zero. If a relationship is not proportional (for example, it contains a fixed setup fee), cross multiplication alone does not model it correctly.

Frequently asked questions

What does the Proportion Calculator calculate?

Solve a proportion of the form a/b = c/d when one of the four values is unknown.

How does the Proportion Calculator work?

Cross multiplication gives a×d = b×c. Rearrange that equation to solve for the missing value.

Is the Proportion Calculator free to use?

Yes. ERICH Calculators is free to use and does not require an account.

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Method, assumptions & corrections

See how formulas, sources and limitations are handled across ERICH Calculators.