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Finding the Fourth Proportional to 20,517.20, 30,775.80 and 8,046.14

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Solution

The fourth proportional to 20,517.20, 30,775.80 and 8,046.14 is: 12,069.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.20 : 30,775.80 = 8,046.14 : x
  2. Step 2: Convert to fraction form
    20,517.20/30,775.80 = 8,046.14/x
  3. Step 3: Cross multiply
    20,517.20x = 30,775.80 × 8,046.14
  4. Step 4: Simplify right side
    20,517.20x = 247,626,395.41
  5. Step 5: Solve for x
    x = 247,626,395.41/20,517.20
  6. Step 6: Final answer
    x = 12,069.21

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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.