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Finding the Fourth Proportional to 5,872.86, 8,104.92 and 3,879.93

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Solution

The fourth proportional to 5,872.86, 8,104.92 and 3,879.93 is: 5,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.86 : 8,104.92 = 3,879.93 : x
  2. Step 2: Convert to fraction form
    5,872.86/8,104.92 = 3,879.93/x
  3. Step 3: Cross multiply
    5,872.86x = 8,104.92 × 3,879.93
  4. Step 4: Simplify right side
    5,872.86x = 31,446,506.41
  5. Step 5: Solve for x
    x = 31,446,506.41/5,872.86
  6. Step 6: Final answer
    x = 5,354.54

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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.