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Finding the Fourth Proportional to 18,917.85, 28,372.20 and 8,382.04

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Solution

The fourth proportional to 18,917.85, 28,372.20 and 8,382.04 is: 12,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,917.85 : 28,372.20 = 8,382.04 : x
  2. Step 2: Convert to fraction form
    18,917.85/28,372.20 = 8,382.04/x
  3. Step 3: Cross multiply
    18,917.85x = 28,372.20 × 8,382.04
  4. Step 4: Simplify right side
    18,917.85x = 237,816,894.33
  5. Step 5: Solve for x
    x = 237,816,894.33/18,917.85
  6. Step 6: Final answer
    x = 12,571.04

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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.