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Finding the Fourth Proportional to 11,737.80, 16,189.74 and 7,542

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Solution

The fourth proportional to 11,737.80, 16,189.74 and 7,542 is: 10,402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.80 : 16,189.74 = 7,542 : x
  2. Step 2: Convert to fraction form
    11,737.80/16,189.74 = 7,542/x
  3. Step 3: Cross multiply
    11,737.80x = 16,189.74 × 7,542
  4. Step 4: Simplify right side
    11,737.80x = 122,103,019.08
  5. Step 5: Solve for x
    x = 122,103,019.08/11,737.80
  6. Step 6: Final answer
    x = 10,402.55

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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.