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Finding the Fourth Proportional to 20,491.44, 30,711.60 and 8,791.08

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Solution

The fourth proportional to 20,491.44, 30,711.60 and 8,791.08 is: 13,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,491.44 : 30,711.60 = 8,791.08 : x
  2. Step 2: Convert to fraction form
    20,491.44/30,711.60 = 8,791.08/x
  3. Step 3: Cross multiply
    20,491.44x = 30,711.60 × 8,791.08
  4. Step 4: Simplify right side
    20,491.44x = 269,988,132.53
  5. Step 5: Solve for x
    x = 269,988,132.53/20,491.44
  6. Step 6: Final answer
    x = 13,175.65

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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.