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Finding the Fourth Proportional to 3,982.92, 5,977.12 and 1,385.86

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Solution

The fourth proportional to 3,982.92, 5,977.12 and 1,385.86 is: 2,079.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.92 : 5,977.12 = 1,385.86 : x
  2. Step 2: Convert to fraction form
    3,982.92/5,977.12 = 1,385.86/x
  3. Step 3: Cross multiply
    3,982.92x = 5,977.12 × 1,385.86
  4. Step 4: Simplify right side
    3,982.92x = 8,283,443.02
  5. Step 5: Solve for x
    x = 8,283,443.02/3,982.92
  6. Step 6: Final answer
    x = 2,079.74

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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.