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Finding the Fourth Proportional to 3,729.87, 5,591.16 and 1,388.16

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Solution

The fourth proportional to 3,729.87, 5,591.16 and 1,388.16 is: 2,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.87 : 5,591.16 = 1,388.16 : x
  2. Step 2: Convert to fraction form
    3,729.87/5,591.16 = 1,388.16/x
  3. Step 3: Cross multiply
    3,729.87x = 5,591.16 × 1,388.16
  4. Step 4: Simplify right side
    3,729.87x = 7,761,424.67
  5. Step 5: Solve for x
    x = 7,761,424.67/3,729.87
  6. Step 6: Final answer
    x = 2,080.88

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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.