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Finding the Fourth Proportional to 8,239.92, 12,286.38 and 7,324.08

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Solution

The fourth proportional to 8,239.92, 12,286.38 and 7,324.08 is: 10,920.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.92 : 12,286.38 = 7,324.08 : x
  2. Step 2: Convert to fraction form
    8,239.92/12,286.38 = 7,324.08/x
  3. Step 3: Cross multiply
    8,239.92x = 12,286.38 × 7,324.08
  4. Step 4: Simplify right side
    8,239.92x = 89,986,430.03
  5. Step 5: Solve for x
    x = 89,986,430.03/8,239.92
  6. Step 6: Final answer
    x = 10,920.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.