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Finding the Fourth Proportional to 18,002.43, 27,008 and 6,757.87

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Solution

The fourth proportional to 18,002.43, 27,008 and 6,757.87 is: 10,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,002.43 : 27,008 = 6,757.87 : x
  2. Step 2: Convert to fraction form
    18,002.43/27,008 = 6,757.87/x
  3. Step 3: Cross multiply
    18,002.43x = 27,008 × 6,757.87
  4. Step 4: Simplify right side
    18,002.43x = 182,516,552.96
  5. Step 5: Solve for x
    x = 182,516,552.96/18,002.43
  6. Step 6: Final answer
    x = 10,138.44

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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.