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Finding the Fourth Proportional to 18,472.68, 25,472.90 and 12,177

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Solution

The fourth proportional to 18,472.68, 25,472.90 and 12,177 is: 16,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,472.68 : 25,472.90 = 12,177 : x
  2. Step 2: Convert to fraction form
    18,472.68/25,472.90 = 12,177/x
  3. Step 3: Cross multiply
    18,472.68x = 25,472.90 × 12,177
  4. Step 4: Simplify right side
    18,472.68x = 310,183,503.30
  5. Step 5: Solve for x
    x = 310,183,503.30/18,472.68
  6. Step 6: Final answer
    x = 16,791.47

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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.