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Finding the Fourth Proportional to 8,613.90, 12,922.07 and 4,231.53

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Solution

The fourth proportional to 8,613.90, 12,922.07 and 4,231.53 is: 6,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.90 : 12,922.07 = 4,231.53 : x
  2. Step 2: Convert to fraction form
    8,613.90/12,922.07 = 4,231.53/x
  3. Step 3: Cross multiply
    8,613.90x = 12,922.07 × 4,231.53
  4. Step 4: Simplify right side
    8,613.90x = 54,680,105.71
  5. Step 5: Solve for x
    x = 54,680,105.71/8,613.90
  6. Step 6: Final answer
    x = 6,347.89

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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.