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Finding the Fourth Proportional to 20,581.44, 30,874.05 and 9,491.19

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Solution

The fourth proportional to 20,581.44, 30,874.05 and 9,491.19 is: 14,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,581.44 : 30,874.05 = 9,491.19 : x
  2. Step 2: Convert to fraction form
    20,581.44/30,874.05 = 9,491.19/x
  3. Step 3: Cross multiply
    20,581.44x = 30,874.05 × 9,491.19
  4. Step 4: Simplify right side
    20,581.44x = 293,031,474.62
  5. Step 5: Solve for x
    x = 293,031,474.62/20,581.44
  6. Step 6: Final answer
    x = 14,237.66

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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.