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Finding the Fourth Proportional to 5,751.78, 7,939.92 and 3,961.77

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Solution

The fourth proportional to 5,751.78, 7,939.92 and 3,961.77 is: 5,468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.78 : 7,939.92 = 3,961.77 : x
  2. Step 2: Convert to fraction form
    5,751.78/7,939.92 = 3,961.77/x
  3. Step 3: Cross multiply
    5,751.78x = 7,939.92 × 3,961.77
  4. Step 4: Simplify right side
    5,751.78x = 31,456,136.86
  5. Step 5: Solve for x
    x = 31,456,136.86/5,751.78
  6. Step 6: Final answer
    x = 5,468.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.