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Finding the Fourth Proportional to 3,761.88, 5,637.90 and 2,759.90

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Solution

The fourth proportional to 3,761.88, 5,637.90 and 2,759.90 is: 4,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.88 : 5,637.90 = 2,759.90 : x
  2. Step 2: Convert to fraction form
    3,761.88/5,637.90 = 2,759.90/x
  3. Step 3: Cross multiply
    3,761.88x = 5,637.90 × 2,759.90
  4. Step 4: Simplify right side
    3,761.88x = 15,560,040.21
  5. Step 5: Solve for x
    x = 15,560,040.21/3,761.88
  6. Step 6: Final answer
    x = 4,136.24

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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.