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Finding the Fourth Proportional to 3,838.60, 5,757.90 and 1,241.47

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Solution

The fourth proportional to 3,838.60, 5,757.90 and 1,241.47 is: 1,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.60 : 5,757.90 = 1,241.47 : x
  2. Step 2: Convert to fraction form
    3,838.60/5,757.90 = 1,241.47/x
  3. Step 3: Cross multiply
    3,838.60x = 5,757.90 × 1,241.47
  4. Step 4: Simplify right side
    3,838.60x = 7,148,260.11
  5. Step 5: Solve for x
    x = 7,148,260.11/3,838.60
  6. Step 6: Final answer
    x = 1,862.21

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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.