Cross Multiply Calculator

This Cross Multiply Calculator helps users find the missing value (X) in a proportion equation using cross-multiplication and verifies the proportionality of the given fractions.

Use Our Cross Multiply Calculator

Guide to Using the Cross Multiply Calculator

Step 1: Understanding the Input Fields

To use the Cross Multiply Calculator, begin by understanding the input fields available to you. There are four main input fields:

  • First Numerator (A): Enter the first numerator. This field is required and must be a numerical value.
  • First Denominator (B): Enter the first denominator. This field is required and must be a numerical value.
  • Second Numerator (C): Enter the second numerator. This field is required and must be a numerical value.
  • Second Denominator (X): This is the value you want to calculate. It is not required at this stage and should remain blank initially.

Step 2: Entering the Values

Proceed by entering appropriate numerical values into each of the required fields:

  • For First Numerator (A) and First Denominator (B), consider these as the components of the first fraction (A/B).
  • For Second Numerator (C), this represents the numerator of the second fraction, where the denominator is unknown (C/X).
  • You will leave the Second Denominator (X) blank, as this is the missing value you intend to calculate.

Step 3: Calculating the Missing Value

After entering the values for A, B, and C, the calculator will compute the missing value X using the formula:

Calculation Logic: (A * X) = (C * B). Therefore, X = (A * C) / B.

The result will be displayed as the Missing Value (X) with up to three decimal places for precision.

Step 4: Validating the Proportion

The calculator also offers a Proportion Check to validate the proportion between the two fractions:

Proportion Check Logic: The calculator checks if the absolute difference between (A/B) and (C/X) is less than 0.0001, which signifies a true proportional relation.

The proportion check results will be illustrated with either a 1 or 0, where:

  • 1: signifies a true proportion (i.e., the fractions are approximately equal).
  • 0: indicates a false proportion.

Step 5: Interpreting the Results

Review the calculated missing value (X) to understand the result of the cross multiplication. Verify if the proportion is true or false based on the proportion check result. Use these insights to make informed decisions or further calculations as needed.