Everyday arithmetic

Ratio scaling calculator

Distribute the required total in proportion to the entered ratio.

Your numbers

Use the units shown. Results update as you change valid inputs.

YOUR RESULT

Distribute the required total in proportion to the entered ratio.

THE NUMBERS, EXPLAINED

How to use this calculator.

Distribute the required total in proportion to the entered ratio.

Start with your inputs

Enter ratio terms, total quantity. Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.

InputExample value
Ratio terms2,3
Total quantity100

A worked example

With the example inputs above, scaled quantities is 40, 60. Change the inputs to explore your own scenario.

All results for the example inputs above
ResultExample answer
Scaled quantities40, 60

How this is calculated

Scaled quantities

For each ratio part x in a: b × x/sum(a).

Symbols and units
a
Ratio terms
b
Total quantity

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Calculation steps and notation

sum(list) adds all entries in the list.

Assumptions and limits

Distribute the required total in proportion to the entered ratio.

Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.

Questions about this tool

What does the result tell me?

Scaled quantities. The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.

Why might another calculator differ?

Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Distribute the required total in proportion to the entered ratio.

Are my inputs stored or sent to AI?

Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.

Further reading

OpenStax: Prealgebra ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

Review status

Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.

Read the quality report →