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Finding the Fourth Proportional to 5,171.97, 7,757.88 and 1,276.41

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Solution

The fourth proportional to 5,171.97, 7,757.88 and 1,276.41 is: 1,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.97 : 7,757.88 = 1,276.41 : x
  2. Step 2: Convert to fraction form
    5,171.97/7,757.88 = 1,276.41/x
  3. Step 3: Cross multiply
    5,171.97x = 7,757.88 × 1,276.41
  4. Step 4: Simplify right side
    5,171.97x = 9,902,235.61
  5. Step 5: Solve for x
    x = 9,902,235.61/5,171.97
  6. Step 6: Final answer
    x = 1,914.60

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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.