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Finding the Fourth Proportional to 36,676, 50,613.49 and 19,909

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Solution

The fourth proportional to 36,676, 50,613.49 and 19,909 is: 27,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,676 : 50,613.49 = 19,909 : x
  2. Step 2: Convert to fraction form
    36,676/50,613.49 = 19,909/x
  3. Step 3: Cross multiply
    36,676x = 50,613.49 × 19,909
  4. Step 4: Simplify right side
    36,676x = 1,007,663,972.41
  5. Step 5: Solve for x
    x = 1,007,663,972.41/36,676
  6. Step 6: Final answer
    x = 27,474.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.