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Finding the Fourth Proportional to 7,951.86, 11,919.78 and 3,020.22

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Solution

The fourth proportional to 7,951.86, 11,919.78 and 3,020.22 is: 4,527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.86 : 11,919.78 = 3,020.22 : x
  2. Step 2: Convert to fraction form
    7,951.86/11,919.78 = 3,020.22/x
  3. Step 3: Cross multiply
    7,951.86x = 11,919.78 × 3,020.22
  4. Step 4: Simplify right side
    7,951.86x = 36,000,357.95
  5. Step 5: Solve for x
    x = 36,000,357.95/7,951.86
  6. Step 6: Final answer
    x = 4,527.29

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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.