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Finding the Fourth Proportional to 3,982.96, 5,977.14 and 1,385.90

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Solution

The fourth proportional to 3,982.96, 5,977.14 and 1,385.90 is: 2,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.96 : 5,977.14 = 1,385.90 : x
  2. Step 2: Convert to fraction form
    3,982.96/5,977.14 = 1,385.90/x
  3. Step 3: Cross multiply
    3,982.96x = 5,977.14 × 1,385.90
  4. Step 4: Simplify right side
    3,982.96x = 8,283,718.33
  5. Step 5: Solve for x
    x = 8,283,718.33/3,982.96
  6. Step 6: Final answer
    x = 2,079.79

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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.