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Finding the Fourth Proportional to 3,989.22, 5,978.19 and 3,001.38

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Solution

The fourth proportional to 3,989.22, 5,978.19 and 3,001.38 is: 4,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.22 : 5,978.19 = 3,001.38 : x
  2. Step 2: Convert to fraction form
    3,989.22/5,978.19 = 3,001.38/x
  3. Step 3: Cross multiply
    3,989.22x = 5,978.19 × 3,001.38
  4. Step 4: Simplify right side
    3,989.22x = 17,942,819.90
  5. Step 5: Solve for x
    x = 17,942,819.90/3,989.22
  6. Step 6: Final answer
    x = 4,497.83

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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.