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Finding the Fourth Proportional to 7,951.26, 11,927.99 and 2,687.78

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Solution

The fourth proportional to 7,951.26, 11,927.99 and 2,687.78 is: 4,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.26 : 11,927.99 = 2,687.78 : x
  2. Step 2: Convert to fraction form
    7,951.26/11,927.99 = 2,687.78/x
  3. Step 3: Cross multiply
    7,951.26x = 11,927.99 × 2,687.78
  4. Step 4: Simplify right side
    7,951.26x = 32,059,739.88
  5. Step 5: Solve for x
    x = 32,059,739.88/7,951.26
  6. Step 6: Final answer
    x = 4,032.03

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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.