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Finding the Fourth Proportional to 8,668.62, 13,010.22 and 8,121.87

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Solution

The fourth proportional to 8,668.62, 13,010.22 and 8,121.87 is: 12,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.62 : 13,010.22 = 8,121.87 : x
  2. Step 2: Convert to fraction form
    8,668.62/13,010.22 = 8,121.87/x
  3. Step 3: Cross multiply
    8,668.62x = 13,010.22 × 8,121.87
  4. Step 4: Simplify right side
    8,668.62x = 105,667,209.85
  5. Step 5: Solve for x
    x = 105,667,209.85/8,668.62
  6. Step 6: Final answer
    x = 12,189.63

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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.