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Finding the Fourth Proportional to 27,871.56, 41,786.04 and 11,218.80

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Solution

The fourth proportional to 27,871.56, 41,786.04 and 11,218.80 is: 16,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.56 : 41,786.04 = 11,218.80 : x
  2. Step 2: Convert to fraction form
    27,871.56/41,786.04 = 11,218.80/x
  3. Step 3: Cross multiply
    27,871.56x = 41,786.04 × 11,218.80
  4. Step 4: Simplify right side
    27,871.56x = 468,789,225.55
  5. Step 5: Solve for x
    x = 468,789,225.55/27,871.56
  6. Step 6: Final answer
    x = 16,819.63

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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.