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Finding the Fourth Proportional to 2,560.78, 3,841.17 and 711.90

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Solution

The fourth proportional to 2,560.78, 3,841.17 and 711.90 is: 1,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.78 : 3,841.17 = 711.90 : x
  2. Step 2: Convert to fraction form
    2,560.78/3,841.17 = 711.90/x
  3. Step 3: Cross multiply
    2,560.78x = 3,841.17 × 711.90
  4. Step 4: Simplify right side
    2,560.78x = 2,734,526.25
  5. Step 5: Solve for x
    x = 2,734,526.25/2,560.78
  6. Step 6: Final answer
    x = 1,067.85

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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.