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Finding the Fourth Proportional to 11,687.66, 17,531.49 and 3,896.48

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Solution

The fourth proportional to 11,687.66, 17,531.49 and 3,896.48 is: 5,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.66 : 17,531.49 = 3,896.48 : x
  2. Step 2: Convert to fraction form
    11,687.66/17,531.49 = 3,896.48/x
  3. Step 3: Cross multiply
    11,687.66x = 17,531.49 × 3,896.48
  4. Step 4: Simplify right side
    11,687.66x = 68,311,012.50
  5. Step 5: Solve for x
    x = 68,311,012.50/11,687.66
  6. Step 6: Final answer
    x = 5,844.72

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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.