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Finding the Fourth Proportional to 8,198.70, 12,234.05 and 8,150.10

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Solution

The fourth proportional to 8,198.70, 12,234.05 and 8,150.10 is: 12,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.70 : 12,234.05 = 8,150.10 : x
  2. Step 2: Convert to fraction form
    8,198.70/12,234.05 = 8,150.10/x
  3. Step 3: Cross multiply
    8,198.70x = 12,234.05 × 8,150.10
  4. Step 4: Simplify right side
    8,198.70x = 99,708,690.15
  5. Step 5: Solve for x
    x = 99,708,690.15/8,198.70
  6. Step 6: Final answer
    x = 12,161.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.