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Finding the Fourth Proportional to 5,252.85, 7,879.05 and 1,965.96

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Solution

The fourth proportional to 5,252.85, 7,879.05 and 1,965.96 is: 2,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.85 : 7,879.05 = 1,965.96 : x
  2. Step 2: Convert to fraction form
    5,252.85/7,879.05 = 1,965.96/x
  3. Step 3: Cross multiply
    5,252.85x = 7,879.05 × 1,965.96
  4. Step 4: Simplify right side
    5,252.85x = 15,489,897.14
  5. Step 5: Solve for x
    x = 15,489,897.14/5,252.85
  6. Step 6: Final answer
    x = 2,948.86

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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.