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Finding the Fourth Proportional to 12,162, 18,245.40 and 3,843.24

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Solution

The fourth proportional to 12,162, 18,245.40 and 3,843.24 is: 5,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162 : 18,245.40 = 3,843.24 : x
  2. Step 2: Convert to fraction form
    12,162/18,245.40 = 3,843.24/x
  3. Step 3: Cross multiply
    12,162x = 18,245.40 × 3,843.24
  4. Step 4: Simplify right side
    12,162x = 70,121,451.10
  5. Step 5: Solve for x
    x = 70,121,451.10/12,162
  6. Step 6: Final answer
    x = 5,765.62

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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.