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Finding the Fourth Proportional to 18,562.73, 27,845.31 and 5,414

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Solution

The fourth proportional to 18,562.73, 27,845.31 and 5,414 is: 8,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,562.73 : 27,845.31 = 5,414 : x
  2. Step 2: Convert to fraction form
    18,562.73/27,845.31 = 5,414/x
  3. Step 3: Cross multiply
    18,562.73x = 27,845.31 × 5,414
  4. Step 4: Simplify right side
    18,562.73x = 150,754,508.34
  5. Step 5: Solve for x
    x = 150,754,508.34/18,562.73
  6. Step 6: Final answer
    x = 8,121.35

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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.