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Finding the Fourth Proportional to 18,802, 28,198.38 and 8,274.66

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Solution

The fourth proportional to 18,802, 28,198.38 and 8,274.66 is: 12,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,802 : 28,198.38 = 8,274.66 : x
  2. Step 2: Convert to fraction form
    18,802/28,198.38 = 8,274.66/x
  3. Step 3: Cross multiply
    18,802x = 28,198.38 × 8,274.66
  4. Step 4: Simplify right side
    18,802x = 233,332,007.05
  5. Step 5: Solve for x
    x = 233,332,007.05/18,802
  6. Step 6: Final answer
    x = 12,409.96

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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.