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Finding the Fourth Proportional to 6,651.25, 9,976.89 and 2,755.75

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Solution

The fourth proportional to 6,651.25, 9,976.89 and 2,755.75 is: 4,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.25 : 9,976.89 = 2,755.75 : x
  2. Step 2: Convert to fraction form
    6,651.25/9,976.89 = 2,755.75/x
  3. Step 3: Cross multiply
    6,651.25x = 9,976.89 × 2,755.75
  4. Step 4: Simplify right side
    6,651.25x = 27,493,814.62
  5. Step 5: Solve for x
    x = 27,493,814.62/6,651.25
  6. Step 6: Final answer
    x = 4,133.63

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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.