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Finding the Fourth Proportional to 6,631, 9,150.78 and 3,838.12

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Solution

The fourth proportional to 6,631, 9,150.78 and 3,838.12 is: 5,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631 : 9,150.78 = 3,838.12 : x
  2. Step 2: Convert to fraction form
    6,631/9,150.78 = 3,838.12/x
  3. Step 3: Cross multiply
    6,631x = 9,150.78 × 3,838.12
  4. Step 4: Simplify right side
    6,631x = 35,121,791.73
  5. Step 5: Solve for x
    x = 35,121,791.73/6,631
  6. Step 6: Final answer
    x = 5,296.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.