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Finding the Fourth Proportional to 11,687.78, 17,531.83 and 3,896.60

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Solution

The fourth proportional to 11,687.78, 17,531.83 and 3,896.60 is: 5,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.78 : 17,531.83 = 3,896.60 : x
  2. Step 2: Convert to fraction form
    11,687.78/17,531.83 = 3,896.60/x
  3. Step 3: Cross multiply
    11,687.78x = 17,531.83 × 3,896.60
  4. Step 4: Simplify right side
    11,687.78x = 68,314,421.64
  5. Step 5: Solve for x
    x = 68,314,421.64/11,687.78
  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.