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Finding the Fourth Proportional to 20,043.62, 30,057.88 and 8,191.05

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Solution

The fourth proportional to 20,043.62, 30,057.88 and 8,191.05 is: 12,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043.62 : 30,057.88 = 8,191.05 : x
  2. Step 2: Convert to fraction form
    20,043.62/30,057.88 = 8,191.05/x
  3. Step 3: Cross multiply
    20,043.62x = 30,057.88 × 8,191.05
  4. Step 4: Simplify right side
    20,043.62x = 246,205,406.73
  5. Step 5: Solve for x
    x = 246,205,406.73/20,043.62
  6. Step 6: Final answer
    x = 12,283.48

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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.