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Finding the Fourth Proportional to 18,249.50, 27,376 and 8,391.54

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Solution

The fourth proportional to 18,249.50, 27,376 and 8,391.54 is: 12,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,249.50 : 27,376 = 8,391.54 : x
  2. Step 2: Convert to fraction form
    18,249.50/27,376 = 8,391.54/x
  3. Step 3: Cross multiply
    18,249.50x = 27,376 × 8,391.54
  4. Step 4: Simplify right side
    18,249.50x = 229,726,799.04
  5. Step 5: Solve for x
    x = 229,726,799.04/18,249.50
  6. Step 6: Final answer
    x = 12,588.11

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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.