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Finding the Fourth Proportional to 18,247.20, 27,348.12 and 8,376

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Solution

The fourth proportional to 18,247.20, 27,348.12 and 8,376 is: 12,553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,247.20 : 27,348.12 = 8,376 : x
  2. Step 2: Convert to fraction form
    18,247.20/27,348.12 = 8,376/x
  3. Step 3: Cross multiply
    18,247.20x = 27,348.12 × 8,376
  4. Step 4: Simplify right side
    18,247.20x = 229,067,853.12
  5. Step 5: Solve for x
    x = 229,067,853.12/18,247.20
  6. Step 6: Final answer
    x = 12,553.59

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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.