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Finding the Fourth Proportional to 8,220.33, 12,321.99 and 3,834.18

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Solution

The fourth proportional to 8,220.33, 12,321.99 and 3,834.18 is: 5,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.33 : 12,321.99 = 3,834.18 : x
  2. Step 2: Convert to fraction form
    8,220.33/12,321.99 = 3,834.18/x
  3. Step 3: Cross multiply
    8,220.33x = 12,321.99 × 3,834.18
  4. Step 4: Simplify right side
    8,220.33x = 47,244,727.62
  5. Step 5: Solve for x
    x = 47,244,727.62/8,220.33
  6. Step 6: Final answer
    x = 5,747.30

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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.