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Finding the Fourth Proportional to 13,800, 20,691.36 and 9,114.24

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Solution

The fourth proportional to 13,800, 20,691.36 and 9,114.24 is: 13,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800 : 20,691.36 = 9,114.24 : x
  2. Step 2: Convert to fraction form
    13,800/20,691.36 = 9,114.24/x
  3. Step 3: Cross multiply
    13,800x = 20,691.36 × 9,114.24
  4. Step 4: Simplify right side
    13,800x = 188,586,020.97
  5. Step 5: Solve for x
    x = 188,586,020.97/13,800
  6. Step 6: Final answer
    x = 13,665.65

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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.