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Finding the Fourth Proportional to 21,956.36, 32,938.04 and 7,164.12

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Solution

The fourth proportional to 21,956.36, 32,938.04 and 7,164.12 is: 10,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,956.36 : 32,938.04 = 7,164.12 : x
  2. Step 2: Convert to fraction form
    21,956.36/32,938.04 = 7,164.12/x
  3. Step 3: Cross multiply
    21,956.36x = 32,938.04 × 7,164.12
  4. Step 4: Simplify right side
    21,956.36x = 235,972,071.12
  5. Step 5: Solve for x
    x = 235,972,071.12/21,956.36
  6. Step 6: Final answer
    x = 10,747.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.