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Finding the Fourth Proportional to 27,287.20, 40,917.36 and 8,816.80

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Solution

The fourth proportional to 27,287.20, 40,917.36 and 8,816.80 is: 13,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,287.20 : 40,917.36 = 8,816.80 : x
  2. Step 2: Convert to fraction form
    27,287.20/40,917.36 = 8,816.80/x
  3. Step 3: Cross multiply
    27,287.20x = 40,917.36 × 8,816.80
  4. Step 4: Simplify right side
    27,287.20x = 360,760,179.65
  5. Step 5: Solve for x
    x = 360,760,179.65/27,287.20
  6. Step 6: Final answer
    x = 13,220.86

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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.