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Finding the Fourth Proportional to 31,472.60, 47,215.84 and 10,419.20

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Solution

The fourth proportional to 31,472.60, 47,215.84 and 10,419.20 is: 15,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.60 : 47,215.84 = 10,419.20 : x
  2. Step 2: Convert to fraction form
    31,472.60/47,215.84 = 10,419.20/x
  3. Step 3: Cross multiply
    31,472.60x = 47,215.84 × 10,419.20
  4. Step 4: Simplify right side
    31,472.60x = 491,951,280.13
  5. Step 5: Solve for x
    x = 491,951,280.13/31,472.60
  6. Step 6: Final answer
    x = 15,631.10

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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.