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Finding the Fourth Proportional to 5,247.93, 7,873.97 and 1,961.29

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Solution

The fourth proportional to 5,247.93, 7,873.97 and 1,961.29 is: 2,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.93 : 7,873.97 = 1,961.29 : x
  2. Step 2: Convert to fraction form
    5,247.93/7,873.97 = 1,961.29/x
  3. Step 3: Cross multiply
    5,247.93x = 7,873.97 × 1,961.29
  4. Step 4: Simplify right side
    5,247.93x = 15,443,138.66
  5. Step 5: Solve for x
    x = 15,443,138.66/5,247.93
  6. Step 6: Final answer
    x = 2,942.71

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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.