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Finding the Fourth Proportional to 18,084, 27,140.72 and 9,321.42

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Solution

The fourth proportional to 18,084, 27,140.72 and 9,321.42 is: 13,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,084 : 27,140.72 = 9,321.42 : x
  2. Step 2: Convert to fraction form
    18,084/27,140.72 = 9,321.42/x
  3. Step 3: Cross multiply
    18,084x = 27,140.72 × 9,321.42
  4. Step 4: Simplify right side
    18,084x = 252,990,003.62
  5. Step 5: Solve for x
    x = 252,990,003.62/18,084
  6. Step 6: Final answer
    x = 13,989.71

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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.