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Finding the Fourth Proportional to 5,122.97, 7,675 and 2,655.17

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Solution

The fourth proportional to 5,122.97, 7,675 and 2,655.17 is: 3,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.97 : 7,675 = 2,655.17 : x
  2. Step 2: Convert to fraction form
    5,122.97/7,675 = 2,655.17/x
  3. Step 3: Cross multiply
    5,122.97x = 7,675 × 2,655.17
  4. Step 4: Simplify right side
    5,122.97x = 20,378,429.75
  5. Step 5: Solve for x
    x = 20,378,429.75/5,122.97
  6. Step 6: Final answer
    x = 3,977.85

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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.