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Finding the Fourth Proportional to 8,472.28, 11,687.80 and 5,489.12

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Solution

The fourth proportional to 8,472.28, 11,687.80 and 5,489.12 is: 7,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.28 : 11,687.80 = 5,489.12 : x
  2. Step 2: Convert to fraction form
    8,472.28/11,687.80 = 5,489.12/x
  3. Step 3: Cross multiply
    8,472.28x = 11,687.80 × 5,489.12
  4. Step 4: Simplify right side
    8,472.28x = 64,155,736.74
  5. Step 5: Solve for x
    x = 64,155,736.74/8,472.28
  6. Step 6: Final answer
    x = 7,572.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.