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Finding the Fourth Proportional to 18,481.57, 27,742.09 and 7,956.80

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Solution

The fourth proportional to 18,481.57, 27,742.09 and 7,956.80 is: 11,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,481.57 : 27,742.09 = 7,956.80 : x
  2. Step 2: Convert to fraction form
    18,481.57/27,742.09 = 7,956.80/x
  3. Step 3: Cross multiply
    18,481.57x = 27,742.09 × 7,956.80
  4. Step 4: Simplify right side
    18,481.57x = 220,738,261.71
  5. Step 5: Solve for x
    x = 220,738,261.71/18,481.57
  6. Step 6: Final answer
    x = 11,943.70

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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.