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Finding the Fourth Proportional to 8,163.14, 12,243 and 2,318.18

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Solution

The fourth proportional to 8,163.14, 12,243 and 2,318.18 is: 3,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.14 : 12,243 = 2,318.18 : x
  2. Step 2: Convert to fraction form
    8,163.14/12,243 = 2,318.18/x
  3. Step 3: Cross multiply
    8,163.14x = 12,243 × 2,318.18
  4. Step 4: Simplify right side
    8,163.14x = 28,381,477.74
  5. Step 5: Solve for x
    x = 28,381,477.74/8,163.14
  6. Step 6: Final answer
    x = 3,476.78

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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.