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Finding the Fourth Proportional to 3,879.36, 5,341.86 and 3,474.78

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Solution

The fourth proportional to 3,879.36, 5,341.86 and 3,474.78 is: 4,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.36 : 5,341.86 = 3,474.78 : x
  2. Step 2: Convert to fraction form
    3,879.36/5,341.86 = 3,474.78/x
  3. Step 3: Cross multiply
    3,879.36x = 5,341.86 × 3,474.78
  4. Step 4: Simplify right side
    3,879.36x = 18,561,788.29
  5. Step 5: Solve for x
    x = 18,561,788.29/3,879.36
  6. Step 6: Final answer
    x = 4,784.76

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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.