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  4. Ratio Calculator

Ratio Calculator

Solve A:B = C:D, simplify ratios, and enlarge or shrink by a factor.

General

  • Percentage Calculator
  • Percent Error Calculator
  • Ratio Calculator
  • Rounding Calculator
  • Exponent Calculator
  • Root Calculator
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How it works

A ratio compares two quantities. Equivalent ratios satisfy A:B = C:D (cross-multiply). You can also simplify A:B or scale it up or down.

A:B = C:D → A×D = B×C

When to use

Use A:B = C:D with any three known values. Switch to Simplify or Scale for reducing and enlarging ratios.

How to use this tool

  1. Enter your values in the fields above.
  2. Review the formula and any mode options for your problem.
  3. Read the result and the step-by-step solution.

Use A:B = C:D with any three known values. Switch to Simplify or Scale for reducing and enlarging ratios.

Frequently asked questions

What is the Ratio Calculator?
A ratio compares two quantities. Equivalent ratios satisfy A:B = C:D (cross-multiply). You can also simplify A:B or scale it up or down.
How do I use the Ratio Calculator?
Enter the required values, then calculate. The Ratio Calculator shows results, formulas, and step-by-step work when available. No account is required.
What formula does the Ratio Calculator use?
A:B = C:D → A×D = B×C

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Equivalent ratio

Enter any three values in A:B = C:D to solve for the missing one.

:=:

Leave exactly one of A, B, C, or D blank.

Try an example

How it works

What is a ratio?

A ratio compares two quantities and shows how many times one value contains another. Ratios are often written with a colon (1:2), as “1 to 2,” or as a fraction 1/2. You meet ratios in cooking (butter:sugar:flour), maps and models (scale), odds, finance rates, and screen aspect ratios (width:height).

Equivalent ratios (A:B = C:D)

If two ratios are equal, the cross-products match: A × D = B × C. Fill in any three values and solve for the fourth. Example: 2:3 = 4:D → 2 × D = 3 × 4 → D = 6.

Common screen aspect ratios

Aspect ratio is width to height. Here are a few common display and video sizes:

NameAspect ratioWidth × height
480p3:2720 × 480
720p16:91280 × 720
1080p16:91920 × 1080
4K UHD16:93840 × 2160
SVGA4:3800 × 600
WXGA16:101280 × 800