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Finding the Fourth Proportional to 8,487.72, 12,732.26 and 2,644.38

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Solution

The fourth proportional to 8,487.72, 12,732.26 and 2,644.38 is: 3,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487.72 : 12,732.26 = 2,644.38 : x
  2. Step 2: Convert to fraction form
    8,487.72/12,732.26 = 2,644.38/x
  3. Step 3: Cross multiply
    8,487.72x = 12,732.26 × 2,644.38
  4. Step 4: Simplify right side
    8,487.72x = 33,668,920.48
  5. Step 5: Solve for x
    x = 33,668,920.48/8,487.72
  6. Step 6: Final answer
    x = 3,966.78

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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.