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Finding the Fourth Proportional to 20,543.68, 30,833.01 and 8,072.43

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Solution

The fourth proportional to 20,543.68, 30,833.01 and 8,072.43 is: 12,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,543.68 : 30,833.01 = 8,072.43 : x
  2. Step 2: Convert to fraction form
    20,543.68/30,833.01 = 8,072.43/x
  3. Step 3: Cross multiply
    20,543.68x = 30,833.01 × 8,072.43
  4. Step 4: Simplify right side
    20,543.68x = 248,897,120.39
  5. Step 5: Solve for x
    x = 248,897,120.39/20,543.68
  6. Step 6: Final answer
    x = 12,115.51

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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.