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Finding the Fourth Proportional to 5,270.68, 7,906.20 and 1,375.48

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Solution

The fourth proportional to 5,270.68, 7,906.20 and 1,375.48 is: 2,063.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.68 : 7,906.20 = 1,375.48 : x
  2. Step 2: Convert to fraction form
    5,270.68/7,906.20 = 1,375.48/x
  3. Step 3: Cross multiply
    5,270.68x = 7,906.20 × 1,375.48
  4. Step 4: Simplify right side
    5,270.68x = 10,874,819.98
  5. Step 5: Solve for x
    x = 10,874,819.98/5,270.68
  6. Step 6: Final answer
    x = 2,063.27

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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.