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Finding the Fourth Proportional to 11,920.78, 17,882.82 and 3,599.85

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Solution

The fourth proportional to 11,920.78, 17,882.82 and 3,599.85 is: 5,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.78 : 17,882.82 = 3,599.85 : x
  2. Step 2: Convert to fraction form
    11,920.78/17,882.82 = 3,599.85/x
  3. Step 3: Cross multiply
    11,920.78x = 17,882.82 × 3,599.85
  4. Step 4: Simplify right side
    11,920.78x = 64,375,469.58
  5. Step 5: Solve for x
    x = 64,375,469.58/11,920.78
  6. Step 6: Final answer
    x = 5,400.27

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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.