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Finding the Fourth Proportional to 3,837.71, 5,757.62 and 1,372.79

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Solution

The fourth proportional to 3,837.71, 5,757.62 and 1,372.79 is: 2,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.71 : 5,757.62 = 1,372.79 : x
  2. Step 2: Convert to fraction form
    3,837.71/5,757.62 = 1,372.79/x
  3. Step 3: Cross multiply
    3,837.71x = 5,757.62 × 1,372.79
  4. Step 4: Simplify right side
    3,837.71x = 7,904,003.16
  5. Step 5: Solve for x
    x = 7,904,003.16/3,837.71
  6. Step 6: Final answer
    x = 2,059.56

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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.