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Finding the Fourth Proportional to 7,879, 10,874.10 and 5,083.96

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Solution

The fourth proportional to 7,879, 10,874.10 and 5,083.96 is: 7,016.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879 : 10,874.10 = 5,083.96 : x
  2. Step 2: Convert to fraction form
    7,879/10,874.10 = 5,083.96/x
  3. Step 3: Cross multiply
    7,879x = 10,874.10 × 5,083.96
  4. Step 4: Simplify right side
    7,879x = 55,283,489.44
  5. Step 5: Solve for x
    x = 55,283,489.44/7,879
  6. Step 6: Final answer
    x = 7,016.56

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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.