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Finding the Fourth Proportional to 11,456.80, 17,152.80 and 8,843.20

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Solution

The fourth proportional to 11,456.80, 17,152.80 and 8,843.20 is: 13,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.80 : 17,152.80 = 8,843.20 : x
  2. Step 2: Convert to fraction form
    11,456.80/17,152.80 = 8,843.20/x
  3. Step 3: Cross multiply
    11,456.80x = 17,152.80 × 8,843.20
  4. Step 4: Simplify right side
    11,456.80x = 151,685,640.96
  5. Step 5: Solve for x
    x = 151,685,640.96/11,456.80
  6. Step 6: Final answer
    x = 13,239.79

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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.