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Finding the Fourth Proportional to 27,836.48, 41,761.64 and 8,115.21

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Solution

The fourth proportional to 27,836.48, 41,761.64 and 8,115.21 is: 12,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,836.48 : 41,761.64 = 8,115.21 : x
  2. Step 2: Convert to fraction form
    27,836.48/41,761.64 = 8,115.21/x
  3. Step 3: Cross multiply
    27,836.48x = 41,761.64 × 8,115.21
  4. Step 4: Simplify right side
    27,836.48x = 338,904,478.54
  5. Step 5: Solve for x
    x = 338,904,478.54/27,836.48
  6. Step 6: Final answer
    x = 12,174.83

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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.