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Finding the Fourth Proportional to 13,737.34, 20,592.09 and 5,414.11

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Solution

The fourth proportional to 13,737.34, 20,592.09 and 5,414.11 is: 8,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.34 : 20,592.09 = 5,414.11 : x
  2. Step 2: Convert to fraction form
    13,737.34/20,592.09 = 5,414.11/x
  3. Step 3: Cross multiply
    13,737.34x = 20,592.09 × 5,414.11
  4. Step 4: Simplify right side
    13,737.34x = 111,487,840.39
  5. Step 5: Solve for x
    x = 111,487,840.39/13,737.34
  6. Step 6: Final answer
    x = 8,115.68

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1.5x scale

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.