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Finding the Fourth Proportional to 18,479.82, 27,708.59 and 7,793.43

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Solution

The fourth proportional to 18,479.82, 27,708.59 and 7,793.43 is: 11,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,479.82 : 27,708.59 = 7,793.43 : x
  2. Step 2: Convert to fraction form
    18,479.82/27,708.59 = 7,793.43/x
  3. Step 3: Cross multiply
    18,479.82x = 27,708.59 × 7,793.43
  4. Step 4: Simplify right side
    18,479.82x = 215,944,872.14
  5. Step 5: Solve for x
    x = 215,944,872.14/18,479.82
  6. Step 6: Final answer
    x = 11,685.44

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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.