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Finding the Fourth Proportional to 3,982.77, 5,974.14 and 1,385.70

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Solution

The fourth proportional to 3,982.77, 5,974.14 and 1,385.70 is: 2,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.77 : 5,974.14 = 1,385.70 : x
  2. Step 2: Convert to fraction form
    3,982.77/5,974.14 = 1,385.70/x
  3. Step 3: Cross multiply
    3,982.77x = 5,974.14 × 1,385.70
  4. Step 4: Simplify right side
    3,982.77x = 8,278,365.80
  5. Step 5: Solve for x
    x = 8,278,365.80/3,982.77
  6. Step 6: Final answer
    x = 2,078.54

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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.