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Finding the Fourth Proportional to 12,381.68, 18,572.16 and 4,592

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Solution

The fourth proportional to 12,381.68, 18,572.16 and 4,592 is: 6,887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.68 : 18,572.16 = 4,592 : x
  2. Step 2: Convert to fraction form
    12,381.68/18,572.16 = 4,592/x
  3. Step 3: Cross multiply
    12,381.68x = 18,572.16 × 4,592
  4. Step 4: Simplify right side
    12,381.68x = 85,283,358.72
  5. Step 5: Solve for x
    x = 85,283,358.72/12,381.68
  6. Step 6: Final answer
    x = 6,887.87

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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.