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Finding the Fourth Proportional to 11,481.94, 15,845.78 and 7,647

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Solution

The fourth proportional to 11,481.94, 15,845.78 and 7,647 is: 10,553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.94 : 15,845.78 = 7,647 : x
  2. Step 2: Convert to fraction form
    11,481.94/15,845.78 = 7,647/x
  3. Step 3: Cross multiply
    11,481.94x = 15,845.78 × 7,647
  4. Step 4: Simplify right side
    11,481.94x = 121,172,679.66
  5. Step 5: Solve for x
    x = 121,172,679.66/11,481.94
  6. Step 6: Final answer
    x = 10,553.33

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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.