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Finding the Fourth Proportional to 8,020.78, 12,031.17 and 2,177.24

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Solution

The fourth proportional to 8,020.78, 12,031.17 and 2,177.24 is: 3,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.78 : 12,031.17 = 2,177.24 : x
  2. Step 2: Convert to fraction form
    8,020.78/12,031.17 = 2,177.24/x
  3. Step 3: Cross multiply
    8,020.78x = 12,031.17 × 2,177.24
  4. Step 4: Simplify right side
    8,020.78x = 26,194,744.57
  5. Step 5: Solve for x
    x = 26,194,744.57/8,020.78
  6. Step 6: Final answer
    x = 3,265.86

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Similar ratio
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1.5x scale

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.