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Finding the Fourth Proportional to 36,366, 54,549.09 and 11,742

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Solution

The fourth proportional to 36,366, 54,549.09 and 11,742 is: 17,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,366 : 54,549.09 = 11,742 : x
  2. Step 2: Convert to fraction form
    36,366/54,549.09 = 11,742/x
  3. Step 3: Cross multiply
    36,366x = 54,549.09 × 11,742
  4. Step 4: Simplify right side
    36,366x = 640,515,414.78
  5. Step 5: Solve for x
    x = 640,515,414.78/36,366
  6. Step 6: Final answer
    x = 17,613.03

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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.