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Finding the Fourth Proportional to 8,512.96, 12,770.16 and 2,668

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Solution

The fourth proportional to 8,512.96, 12,770.16 and 2,668 is: 4,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.96 : 12,770.16 = 2,668 : x
  2. Step 2: Convert to fraction form
    8,512.96/12,770.16 = 2,668/x
  3. Step 3: Cross multiply
    8,512.96x = 12,770.16 × 2,668
  4. Step 4: Simplify right side
    8,512.96x = 34,070,786.88
  5. Step 5: Solve for x
    x = 34,070,786.88/8,512.96
  6. Step 6: Final answer
    x = 4,002.23

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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.