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Finding the Fourth Proportional to 22,737.66, 31,378.85 and 13,177.88

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Solution

The fourth proportional to 22,737.66, 31,378.85 and 13,177.88 is: 18,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,737.66 : 31,378.85 = 13,177.88 : x
  2. Step 2: Convert to fraction form
    22,737.66/31,378.85 = 13,177.88/x
  3. Step 3: Cross multiply
    22,737.66x = 31,378.85 × 13,177.88
  4. Step 4: Simplify right side
    22,737.66x = 413,506,497.05
  5. Step 5: Solve for x
    x = 413,506,497.05/22,737.66
  6. Step 6: Final answer
    x = 18,185.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.