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Finding the Fourth Proportional to 12,568.44, 18,846.18 and 8,187.96

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Solution

The fourth proportional to 12,568.44, 18,846.18 and 8,187.96 is: 12,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.44 : 18,846.18 = 8,187.96 : x
  2. Step 2: Convert to fraction form
    12,568.44/18,846.18 = 8,187.96/x
  3. Step 3: Cross multiply
    12,568.44x = 18,846.18 × 8,187.96
  4. Step 4: Simplify right side
    12,568.44x = 154,311,767.99
  5. Step 5: Solve for x
    x = 154,311,767.99/12,568.44
  6. Step 6: Final answer
    x = 12,277.72

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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.