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Finding the Fourth Proportional to 3,375.70, 5,061.15 and 1,294.90

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Solution

The fourth proportional to 3,375.70, 5,061.15 and 1,294.90 is: 1,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.70 : 5,061.15 = 1,294.90 : x
  2. Step 2: Convert to fraction form
    3,375.70/5,061.15 = 1,294.90/x
  3. Step 3: Cross multiply
    3,375.70x = 5,061.15 × 1,294.90
  4. Step 4: Simplify right side
    3,375.70x = 6,553,683.14
  5. Step 5: Solve for x
    x = 6,553,683.14/3,375.70
  6. Step 6: Final answer
    x = 1,941.43

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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.