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Finding the Fourth Proportional to 5,270.81, 7,906.71 and 1,375.21

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Solution

The fourth proportional to 5,270.81, 7,906.71 and 1,375.21 is: 2,062.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.81 : 7,906.71 = 1,375.21 : x
  2. Step 2: Convert to fraction form
    5,270.81/7,906.71 = 1,375.21/x
  3. Step 3: Cross multiply
    5,270.81x = 7,906.71 × 1,375.21
  4. Step 4: Simplify right side
    5,270.81x = 10,873,401.70
  5. Step 5: Solve for x
    x = 10,873,401.70/5,270.81
  6. Step 6: Final answer
    x = 2,062.95

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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.