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Finding the Fourth Proportional to 9,198.60, 13,793.78 and 8,282.82

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Solution

The fourth proportional to 9,198.60, 13,793.78 and 8,282.82 is: 12,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.60 : 13,793.78 = 8,282.82 : x
  2. Step 2: Convert to fraction form
    9,198.60/13,793.78 = 8,282.82/x
  3. Step 3: Cross multiply
    9,198.60x = 13,793.78 × 8,282.82
  4. Step 4: Simplify right side
    9,198.60x = 114,251,396.86
  5. Step 5: Solve for x
    x = 114,251,396.86/9,198.60
  6. Step 6: Final answer
    x = 12,420.52

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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.