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Finding the Fourth Proportional to 8,223.81, 12,335.94 and 2,380.65

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Solution

The fourth proportional to 8,223.81, 12,335.94 and 2,380.65 is: 3,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.81 : 12,335.94 = 2,380.65 : x
  2. Step 2: Convert to fraction form
    8,223.81/12,335.94 = 2,380.65/x
  3. Step 3: Cross multiply
    8,223.81x = 12,335.94 × 2,380.65
  4. Step 4: Simplify right side
    8,223.81x = 29,367,555.56
  5. Step 5: Solve for x
    x = 29,367,555.56/8,223.81
  6. Step 6: Final answer
    x = 3,571.04

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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.