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Finding the Fourth Proportional to 11,702.49, 17,553.69 and 3,811.56

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Solution

The fourth proportional to 11,702.49, 17,553.69 and 3,811.56 is: 5,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.49 : 17,553.69 = 3,811.56 : x
  2. Step 2: Convert to fraction form
    11,702.49/17,553.69 = 3,811.56/x
  3. Step 3: Cross multiply
    11,702.49x = 17,553.69 × 3,811.56
  4. Step 4: Simplify right side
    11,702.49x = 66,906,942.66
  5. Step 5: Solve for x
    x = 66,906,942.66/11,702.49
  6. Step 6: Final answer
    x = 5,717.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.