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Finding the Fourth Proportional to 3,469.88, 5,204.43 and 872.81

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Solution

The fourth proportional to 3,469.88, 5,204.43 and 872.81 is: 1,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.88 : 5,204.43 = 872.81 : x
  2. Step 2: Convert to fraction form
    3,469.88/5,204.43 = 872.81/x
  3. Step 3: Cross multiply
    3,469.88x = 5,204.43 × 872.81
  4. Step 4: Simplify right side
    3,469.88x = 4,542,478.55
  5. Step 5: Solve for x
    x = 4,542,478.55/3,469.88
  6. Step 6: Final answer
    x = 1,309.12

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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.