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Finding the Fourth Proportional to 5,171.88, 7,761 and 2,250.42

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Solution

The fourth proportional to 5,171.88, 7,761 and 2,250.42 is: 3,377.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.88 : 7,761 = 2,250.42 : x
  2. Step 2: Convert to fraction form
    5,171.88/7,761 = 2,250.42/x
  3. Step 3: Cross multiply
    5,171.88x = 7,761 × 2,250.42
  4. Step 4: Simplify right side
    5,171.88x = 17,465,509.62
  5. Step 5: Solve for x
    x = 17,465,509.62/5,171.88
  6. Step 6: Final answer
    x = 3,377.01

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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.