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Finding the Fourth Proportional to 6,517.14, 8,978.46 and 5,331.30

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Solution

The fourth proportional to 6,517.14, 8,978.46 and 5,331.30 is: 7,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.14 : 8,978.46 = 5,331.30 : x
  2. Step 2: Convert to fraction form
    6,517.14/8,978.46 = 5,331.30/x
  3. Step 3: Cross multiply
    6,517.14x = 8,978.46 × 5,331.30
  4. Step 4: Simplify right side
    6,517.14x = 47,866,863.80
  5. Step 5: Solve for x
    x = 47,866,863.80/6,517.14
  6. Step 6: Final answer
    x = 7,344.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.