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Finding the Fourth Proportional to 11,481.92, 17,220.02 and 3,161.52

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Solution

The fourth proportional to 11,481.92, 17,220.02 and 3,161.52 is: 4,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.92 : 17,220.02 = 3,161.52 : x
  2. Step 2: Convert to fraction form
    11,481.92/17,220.02 = 3,161.52/x
  3. Step 3: Cross multiply
    11,481.92x = 17,220.02 × 3,161.52
  4. Step 4: Simplify right side
    11,481.92x = 54,441,421.82
  5. Step 5: Solve for x
    x = 54,441,421.82/11,481.92
  6. Step 6: Final answer
    x = 4,741.49

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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.