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Finding the Fourth Proportional to 6,617.92, 9,920.80 and 2,721.60

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Solution

The fourth proportional to 6,617.92, 9,920.80 and 2,721.60 is: 4,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.92 : 9,920.80 = 2,721.60 : x
  2. Step 2: Convert to fraction form
    6,617.92/9,920.80 = 2,721.60/x
  3. Step 3: Cross multiply
    6,617.92x = 9,920.80 × 2,721.60
  4. Step 4: Simplify right side
    6,617.92x = 27,000,449.28
  5. Step 5: Solve for x
    x = 27,000,449.28/6,617.92
  6. Step 6: Final answer
    x = 4,079.90

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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.