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Finding the Fourth Proportional to 3,838.71, 5,759.15 and 1,241.85

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Solution

The fourth proportional to 3,838.71, 5,759.15 and 1,241.85 is: 1,863.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.71 : 5,759.15 = 1,241.85 : x
  2. Step 2: Convert to fraction form
    3,838.71/5,759.15 = 1,241.85/x
  3. Step 3: Cross multiply
    3,838.71x = 5,759.15 × 1,241.85
  4. Step 4: Simplify right side
    3,838.71x = 7,151,994.22
  5. Step 5: Solve for x
    x = 7,151,994.22/3,838.71
  6. Step 6: Final answer
    x = 1,863.12

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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.