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Finding the Fourth Proportional to 3,469.50, 5,204.30 and 872.46

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Solution

The fourth proportional to 3,469.50, 5,204.30 and 872.46 is: 1,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.50 : 5,204.30 = 872.46 : x
  2. Step 2: Convert to fraction form
    3,469.50/5,204.30 = 872.46/x
  3. Step 3: Cross multiply
    3,469.50x = 5,204.30 × 872.46
  4. Step 4: Simplify right side
    3,469.50x = 4,540,543.58
  5. Step 5: Solve for x
    x = 4,540,543.58/3,469.50
  6. Step 6: Final answer
    x = 1,308.70

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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.