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Finding the Fourth Proportional to 20,640.71, 30,975.65 and 8,161.14

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Solution

The fourth proportional to 20,640.71, 30,975.65 and 8,161.14 is: 12,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640.71 : 30,975.65 = 8,161.14 : x
  2. Step 2: Convert to fraction form
    20,640.71/30,975.65 = 8,161.14/x
  3. Step 3: Cross multiply
    20,640.71x = 30,975.65 × 8,161.14
  4. Step 4: Simplify right side
    20,640.71x = 252,796,575.44
  5. Step 5: Solve for x
    x = 252,796,575.44/20,640.71
  6. Step 6: Final answer
    x = 12,247.48

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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.