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Finding the Fourth Proportional to 13,737.38, 20,607.15 and 5,416.82

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Solution

The fourth proportional to 13,737.38, 20,607.15 and 5,416.82 is: 8,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.38 : 20,607.15 = 5,416.82 : x
  2. Step 2: Convert to fraction form
    13,737.38/20,607.15 = 5,416.82/x
  3. Step 3: Cross multiply
    13,737.38x = 20,607.15 × 5,416.82
  4. Step 4: Simplify right side
    13,737.38x = 111,625,222.26
  5. Step 5: Solve for x
    x = 111,625,222.26/13,737.38
  6. Step 6: Final answer
    x = 8,125.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.