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Finding the Fourth Proportional to 10,381.92, 14,322.36 and 7,542

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Solution

The fourth proportional to 10,381.92, 14,322.36 and 7,542 is: 10,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.92 : 14,322.36 = 7,542 : x
  2. Step 2: Convert to fraction form
    10,381.92/14,322.36 = 7,542/x
  3. Step 3: Cross multiply
    10,381.92x = 14,322.36 × 7,542
  4. Step 4: Simplify right side
    10,381.92x = 108,019,239.12
  5. Step 5: Solve for x
    x = 108,019,239.12/10,381.92
  6. Step 6: Final answer
    x = 10,404.55

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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.