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Finding the Fourth Proportional to 7,874.67, 11,816.73 and 7,067.91

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Solution

The fourth proportional to 7,874.67, 11,816.73 and 7,067.91 is: 10,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.67 : 11,816.73 = 7,067.91 : x
  2. Step 2: Convert to fraction form
    7,874.67/11,816.73 = 7,067.91/x
  3. Step 3: Cross multiply
    7,874.67x = 11,816.73 × 7,067.91
  4. Step 4: Simplify right side
    7,874.67x = 83,519,584.13
  5. Step 5: Solve for x
    x = 83,519,584.13/7,874.67
  6. Step 6: Final answer
    x = 10,606.11

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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.