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Finding the Fourth Proportional to 3,879.92, 5,821.29 and 1,905.35

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Solution

The fourth proportional to 3,879.92, 5,821.29 and 1,905.35 is: 2,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.92 : 5,821.29 = 1,905.35 : x
  2. Step 2: Convert to fraction form
    3,879.92/5,821.29 = 1,905.35/x
  3. Step 3: Cross multiply
    3,879.92x = 5,821.29 × 1,905.35
  4. Step 4: Simplify right side
    3,879.92x = 11,091,565.80
  5. Step 5: Solve for x
    x = 11,091,565.80/3,879.92
  6. Step 6: Final answer
    x = 2,858.71

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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.