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Finding the Fourth Proportional to 8,396.82, 12,575.79 and 8,105.22

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Solution

The fourth proportional to 8,396.82, 12,575.79 and 8,105.22 is: 12,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.82 : 12,575.79 = 8,105.22 : x
  2. Step 2: Convert to fraction form
    8,396.82/12,575.79 = 8,105.22/x
  3. Step 3: Cross multiply
    8,396.82x = 12,575.79 × 8,105.22
  4. Step 4: Simplify right side
    8,396.82x = 101,929,544.62
  5. Step 5: Solve for x
    x = 101,929,544.62/8,396.82
  6. Step 6: Final answer
    x = 12,139.07

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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.