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Finding the Fourth Proportional to 36,074, 49,786.44 and 21,170

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Solution

The fourth proportional to 36,074, 49,786.44 and 21,170 is: 29,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,074 : 49,786.44 = 21,170 : x
  2. Step 2: Convert to fraction form
    36,074/49,786.44 = 21,170/x
  3. Step 3: Cross multiply
    36,074x = 49,786.44 × 21,170
  4. Step 4: Simplify right side
    36,074x = 1,053,978,934.80
  5. Step 5: Solve for x
    x = 1,053,978,934.80/36,074
  6. Step 6: Final answer
    x = 29,217.14

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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.