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Finding the Fourth Proportional to 8,198.20, 12,265.80 and 8,177.20

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Solution

The fourth proportional to 8,198.20, 12,265.80 and 8,177.20 is: 12,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.20 : 12,265.80 = 8,177.20 : x
  2. Step 2: Convert to fraction form
    8,198.20/12,265.80 = 8,177.20/x
  3. Step 3: Cross multiply
    8,198.20x = 12,265.80 × 8,177.20
  4. Step 4: Simplify right side
    8,198.20x = 100,299,899.76
  5. Step 5: Solve for x
    x = 100,299,899.76/8,198.20
  6. Step 6: Final answer
    x = 12,234.38

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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.