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Finding the Fourth Proportional to 3,843.50, 5,761.15 and 1,652.40

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Solution

The fourth proportional to 3,843.50, 5,761.15 and 1,652.40 is: 2,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.50 : 5,761.15 = 1,652.40 : x
  2. Step 2: Convert to fraction form
    3,843.50/5,761.15 = 1,652.40/x
  3. Step 3: Cross multiply
    3,843.50x = 5,761.15 × 1,652.40
  4. Step 4: Simplify right side
    3,843.50x = 9,519,724.78
  5. Step 5: Solve for x
    x = 9,519,724.78/3,843.50
  6. Step 6: Final answer
    x = 2,476.84

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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.