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Finding the Fourth Proportional to 20,517.61, 30,764.10 and 8,022.74

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Solution

The fourth proportional to 20,517.61, 30,764.10 and 8,022.74 is: 12,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.61 : 30,764.10 = 8,022.74 : x
  2. Step 2: Convert to fraction form
    20,517.61/30,764.10 = 8,022.74/x
  3. Step 3: Cross multiply
    20,517.61x = 30,764.10 × 8,022.74
  4. Step 4: Simplify right side
    20,517.61x = 246,812,375.63
  5. Step 5: Solve for x
    x = 246,812,375.63/20,517.61
  6. Step 6: Final answer
    x = 12,029.29

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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.