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Finding the Fourth Proportional to 18,514.30, 27,747.15 and 7,411.90

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Solution

The fourth proportional to 18,514.30, 27,747.15 and 7,411.90 is: 11,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,514.30 : 27,747.15 = 7,411.90 : x
  2. Step 2: Convert to fraction form
    18,514.30/27,747.15 = 7,411.90/x
  3. Step 3: Cross multiply
    18,514.30x = 27,747.15 × 7,411.90
  4. Step 4: Simplify right side
    18,514.30x = 205,659,101.09
  5. Step 5: Solve for x
    x = 205,659,101.09/18,514.30
  6. Step 6: Final answer
    x = 11,108.12

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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.