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Finding the Fourth Proportional to 11,310.44, 16,959.49 and 3,914.28

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Solution

The fourth proportional to 11,310.44, 16,959.49 and 3,914.28 is: 5,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.44 : 16,959.49 = 3,914.28 : x
  2. Step 2: Convert to fraction form
    11,310.44/16,959.49 = 3,914.28/x
  3. Step 3: Cross multiply
    11,310.44x = 16,959.49 × 3,914.28
  4. Step 4: Simplify right side
    11,310.44x = 66,384,182.73
  5. Step 5: Solve for x
    x = 66,384,182.73/11,310.44
  6. Step 6: Final answer
    x = 5,869.29

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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.