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Finding the Fourth Proportional to 18,161.96, 27,247.79 and 7,071.84

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Solution

The fourth proportional to 18,161.96, 27,247.79 and 7,071.84 is: 10,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,161.96 : 27,247.79 = 7,071.84 : x
  2. Step 2: Convert to fraction form
    18,161.96/27,247.79 = 7,071.84/x
  3. Step 3: Cross multiply
    18,161.96x = 27,247.79 × 7,071.84
  4. Step 4: Simplify right side
    18,161.96x = 192,692,028.91
  5. Step 5: Solve for x
    x = 192,692,028.91/18,161.96
  6. Step 6: Final answer
    x = 10,609.65

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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.