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Finding the Fourth Proportional to 5,480.80, 8,224.32 and 3,294.88

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Solution

The fourth proportional to 5,480.80, 8,224.32 and 3,294.88 is: 4,944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.80 : 8,224.32 = 3,294.88 : x
  2. Step 2: Convert to fraction form
    5,480.80/8,224.32 = 3,294.88/x
  3. Step 3: Cross multiply
    5,480.80x = 8,224.32 × 3,294.88
  4. Step 4: Simplify right side
    5,480.80x = 27,098,147.48
  5. Step 5: Solve for x
    x = 27,098,147.48/5,480.80
  6. Step 6: Final answer
    x = 4,944.20

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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.