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Finding the Fourth Proportional to 3,839.97, 5,760.42 and 1,375.05

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Solution

The fourth proportional to 3,839.97, 5,760.42 and 1,375.05 is: 2,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.97 : 5,760.42 = 1,375.05 : x
  2. Step 2: Convert to fraction form
    3,839.97/5,760.42 = 1,375.05/x
  3. Step 3: Cross multiply
    3,839.97x = 5,760.42 × 1,375.05
  4. Step 4: Simplify right side
    3,839.97x = 7,920,865.52
  5. Step 5: Solve for x
    x = 7,920,865.52/3,839.97
  6. Step 6: Final answer
    x = 2,062.74

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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.