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Finding the Fourth Proportional to 3,469.96, 5,204.88 and 872.86

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Solution

The fourth proportional to 3,469.96, 5,204.88 and 872.86 is: 1,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.96 : 5,204.88 = 872.86 : x
  2. Step 2: Convert to fraction form
    3,469.96/5,204.88 = 872.86/x
  3. Step 3: Cross multiply
    3,469.96x = 5,204.88 × 872.86
  4. Step 4: Simplify right side
    3,469.96x = 4,543,131.56
  5. Step 5: Solve for x
    x = 4,543,131.56/3,469.96
  6. Step 6: Final answer
    x = 1,309.27

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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.