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Finding the Fourth Proportional to 11,991, 17,974.36 and 4,961.28

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Solution

The fourth proportional to 11,991, 17,974.36 and 4,961.28 is: 7,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991 : 17,974.36 = 4,961.28 : x
  2. Step 2: Convert to fraction form
    11,991/17,974.36 = 4,961.28/x
  3. Step 3: Cross multiply
    11,991x = 17,974.36 × 4,961.28
  4. Step 4: Simplify right side
    11,991x = 89,175,832.78
  5. Step 5: Solve for x
    x = 89,175,832.78/11,991
  6. Step 6: Final answer
    x = 7,436.90

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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.