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Finding the Fourth Proportional to 11,658.25, 17,489.87 and 3,761.21

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Solution

The fourth proportional to 11,658.25, 17,489.87 and 3,761.21 is: 5,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.25 : 17,489.87 = 3,761.21 : x
  2. Step 2: Convert to fraction form
    11,658.25/17,489.87 = 3,761.21/x
  3. Step 3: Cross multiply
    11,658.25x = 17,489.87 × 3,761.21
  4. Step 4: Simplify right side
    11,658.25x = 65,783,059.84
  5. Step 5: Solve for x
    x = 65,783,059.84/11,658.25
  6. Step 6: Final answer
    x = 5,642.62

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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.