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Finding the Fourth Proportional to 8,407.76, 12,613.80 and 3,214.04

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Solution

The fourth proportional to 8,407.76, 12,613.80 and 3,214.04 is: 4,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.76 : 12,613.80 = 3,214.04 : x
  2. Step 2: Convert to fraction form
    8,407.76/12,613.80 = 3,214.04/x
  3. Step 3: Cross multiply
    8,407.76x = 12,613.80 × 3,214.04
  4. Step 4: Simplify right side
    8,407.76x = 40,541,257.75
  5. Step 5: Solve for x
    x = 40,541,257.75/8,407.76
  6. Step 6: Final answer
    x = 4,821.89

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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.