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Finding the Fourth Proportional to 7,879.80, 11,817.34 and 6,489.69

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Solution

The fourth proportional to 7,879.80, 11,817.34 and 6,489.69 is: 9,732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.80 : 11,817.34 = 6,489.69 : x
  2. Step 2: Convert to fraction form
    7,879.80/11,817.34 = 6,489.69/x
  3. Step 3: Cross multiply
    7,879.80x = 11,817.34 × 6,489.69
  4. Step 4: Simplify right side
    7,879.80x = 76,690,849.19
  5. Step 5: Solve for x
    x = 76,690,849.19/7,879.80
  6. Step 6: Final answer
    x = 9,732.59

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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.