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Finding the Fourth Proportional to 5,270.78, 7,905.54 and 1,375.49

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Solution

The fourth proportional to 5,270.78, 7,905.54 and 1,375.49 is: 2,063.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.78 : 7,905.54 = 1,375.49 : x
  2. Step 2: Convert to fraction form
    5,270.78/7,905.54 = 1,375.49/x
  3. Step 3: Cross multiply
    5,270.78x = 7,905.54 × 1,375.49
  4. Step 4: Simplify right side
    5,270.78x = 10,873,991.21
  5. Step 5: Solve for x
    x = 10,873,991.21/5,270.78
  6. Step 6: Final answer
    x = 2,063.07

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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.