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Finding the Fourth Proportional to 18,215.68, 27,318.12 and 7,825

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Solution

The fourth proportional to 18,215.68, 27,318.12 and 7,825 is: 11,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,215.68 : 27,318.12 = 7,825 : x
  2. Step 2: Convert to fraction form
    18,215.68/27,318.12 = 7,825/x
  3. Step 3: Cross multiply
    18,215.68x = 27,318.12 × 7,825
  4. Step 4: Simplify right side
    18,215.68x = 213,764,289
  5. Step 5: Solve for x
    x = 213,764,289/18,215.68
  6. Step 6: Final answer
    x = 11,735.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.