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Finding the Fourth Proportional to 11,687.78, 17,531.82 and 3,896.59

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Solution

The fourth proportional to 11,687.78, 17,531.82 and 3,896.59 is: 5,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.78 : 17,531.82 = 3,896.59 : x
  2. Step 2: Convert to fraction form
    11,687.78/17,531.82 = 3,896.59/x
  3. Step 3: Cross multiply
    11,687.78x = 17,531.82 × 3,896.59
  4. Step 4: Simplify right side
    11,687.78x = 68,314,314.49
  5. Step 5: Solve for x
    x = 68,314,314.49/11,687.78
  6. Step 6: Final answer
    x = 5,844.94

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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.