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Finding the Fourth Proportional to 20,512.20, 30,769.80 and 8,031.10

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Solution

The fourth proportional to 20,512.20, 30,769.80 and 8,031.10 is: 12,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.20 : 30,769.80 = 8,031.10 : x
  2. Step 2: Convert to fraction form
    20,512.20/30,769.80 = 8,031.10/x
  3. Step 3: Cross multiply
    20,512.20x = 30,769.80 × 8,031.10
  4. Step 4: Simplify right side
    20,512.20x = 247,115,340.78
  5. Step 5: Solve for x
    x = 247,115,340.78/20,512.20
  6. Step 6: Final answer
    x = 12,047.24

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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.