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Finding the Fourth Proportional to 3,891.26, 5,839.92 and 1,428.45

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Solution

The fourth proportional to 3,891.26, 5,839.92 and 1,428.45 is: 2,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.26 : 5,839.92 = 1,428.45 : x
  2. Step 2: Convert to fraction form
    3,891.26/5,839.92 = 1,428.45/x
  3. Step 3: Cross multiply
    3,891.26x = 5,839.92 × 1,428.45
  4. Step 4: Simplify right side
    3,891.26x = 8,342,033.72
  5. Step 5: Solve for x
    x = 8,342,033.72/3,891.26
  6. Step 6: Final answer
    x = 2,143.79

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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.