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Finding the Fourth Proportional to 10,608.80, 15,914.03 and 3,213.86

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Solution

The fourth proportional to 10,608.80, 15,914.03 and 3,213.86 is: 4,821.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.80 : 15,914.03 = 3,213.86 : x
  2. Step 2: Convert to fraction form
    10,608.80/15,914.03 = 3,213.86/x
  3. Step 3: Cross multiply
    10,608.80x = 15,914.03 × 3,213.86
  4. Step 4: Simplify right side
    10,608.80x = 51,145,488.17
  5. Step 5: Solve for x
    x = 51,145,488.17/10,608.80
  6. Step 6: Final answer
    x = 4,821.04

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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.