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Finding the Fourth Proportional to 19,640.72, 29,463 and 9,249.68

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Solution

The fourth proportional to 19,640.72, 29,463 and 9,249.68 is: 13,875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640.72 : 29,463 = 9,249.68 : x
  2. Step 2: Convert to fraction form
    19,640.72/29,463 = 9,249.68/x
  3. Step 3: Cross multiply
    19,640.72x = 29,463 × 9,249.68
  4. Step 4: Simplify right side
    19,640.72x = 272,523,321.84
  5. Step 5: Solve for x
    x = 272,523,321.84/19,640.72
  6. Step 6: Final answer
    x = 13,875.42

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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.