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Finding the Fourth Proportional to 5,255.73, 7,879.32 and 1,966.98

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Solution

The fourth proportional to 5,255.73, 7,879.32 and 1,966.98 is: 2,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.73 : 7,879.32 = 1,966.98 : x
  2. Step 2: Convert to fraction form
    5,255.73/7,879.32 = 1,966.98/x
  3. Step 3: Cross multiply
    5,255.73x = 7,879.32 × 1,966.98
  4. Step 4: Simplify right side
    5,255.73x = 15,498,464.85
  5. Step 5: Solve for x
    x = 15,498,464.85/5,255.73
  6. Step 6: Final answer
    x = 2,948.87

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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.