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Finding the Fourth Proportional to 8,396.84, 12,577.03 and 8,163.56

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Solution

The fourth proportional to 8,396.84, 12,577.03 and 8,163.56 is: 12,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.84 : 12,577.03 = 8,163.56 : x
  2. Step 2: Convert to fraction form
    8,396.84/12,577.03 = 8,163.56/x
  3. Step 3: Cross multiply
    8,396.84x = 12,577.03 × 8,163.56
  4. Step 4: Simplify right side
    8,396.84x = 102,673,350.06
  5. Step 5: Solve for x
    x = 102,673,350.06/8,396.84
  6. Step 6: Final answer
    x = 12,227.61

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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.