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Finding the Fourth Proportional to 3,879.72, 5,357.70 and 3,871.80

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Solution

The fourth proportional to 3,879.72, 5,357.70 and 3,871.80 is: 5,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.72 : 5,357.70 = 3,871.80 : x
  2. Step 2: Convert to fraction form
    3,879.72/5,357.70 = 3,871.80/x
  3. Step 3: Cross multiply
    3,879.72x = 5,357.70 × 3,871.80
  4. Step 4: Simplify right side
    3,879.72x = 20,743,942.86
  5. Step 5: Solve for x
    x = 20,743,942.86/3,879.72
  6. Step 6: Final answer
    x = 5,346.76

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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.