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Finding the Fourth Proportional to 11,775.75, 17,663.17 and 3,984.57

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Solution

The fourth proportional to 11,775.75, 17,663.17 and 3,984.57 is: 5,976.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.75 : 17,663.17 = 3,984.57 : x
  2. Step 2: Convert to fraction form
    11,775.75/17,663.17 = 3,984.57/x
  3. Step 3: Cross multiply
    11,775.75x = 17,663.17 × 3,984.57
  4. Step 4: Simplify right side
    11,775.75x = 70,380,048.97
  5. Step 5: Solve for x
    x = 70,380,048.97/11,775.75
  6. Step 6: Final answer
    x = 5,976.69

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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.