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Finding the Fourth Proportional to 6,613.76, 9,920 and 2,231.04

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Solution

The fourth proportional to 6,613.76, 9,920 and 2,231.04 is: 3,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.76 : 9,920 = 2,231.04 : x
  2. Step 2: Convert to fraction form
    6,613.76/9,920 = 2,231.04/x
  3. Step 3: Cross multiply
    6,613.76x = 9,920 × 2,231.04
  4. Step 4: Simplify right side
    6,613.76x = 22,131,916.80
  5. Step 5: Solve for x
    x = 22,131,916.80/6,613.76
  6. Step 6: Final answer
    x = 3,346.34

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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.