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Finding the Fourth Proportional to 3,727.90, 5,142.82 and 2,982.90

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Solution

The fourth proportional to 3,727.90, 5,142.82 and 2,982.90 is: 4,115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.90 : 5,142.82 = 2,982.90 : x
  2. Step 2: Convert to fraction form
    3,727.90/5,142.82 = 2,982.90/x
  3. Step 3: Cross multiply
    3,727.90x = 5,142.82 × 2,982.90
  4. Step 4: Simplify right side
    3,727.90x = 15,340,517.78
  5. Step 5: Solve for x
    x = 15,340,517.78/3,727.90
  6. Step 6: Final answer
    x = 4,115.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.