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Finding the Fourth Proportional to 7,951.91, 11,930 and 2,757.79

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Solution

The fourth proportional to 7,951.91, 11,930 and 2,757.79 is: 4,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.91 : 11,930 = 2,757.79 : x
  2. Step 2: Convert to fraction form
    7,951.91/11,930 = 2,757.79/x
  3. Step 3: Cross multiply
    7,951.91x = 11,930 × 2,757.79
  4. Step 4: Simplify right side
    7,951.91x = 32,900,434.70
  5. Step 5: Solve for x
    x = 32,900,434.70/7,951.91
  6. Step 6: Final answer
    x = 4,137.43

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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.