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Finding the Fourth Proportional to 36,121.44, 49,843.04 and 21,782

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Solution

The fourth proportional to 36,121.44, 49,843.04 and 21,782 is: 30,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,121.44 : 49,843.04 = 21,782 : x
  2. Step 2: Convert to fraction form
    36,121.44/49,843.04 = 21,782/x
  3. Step 3: Cross multiply
    36,121.44x = 49,843.04 × 21,782
  4. Step 4: Simplify right side
    36,121.44x = 1,085,681,097.28
  5. Step 5: Solve for x
    x = 1,085,681,097.28/36,121.44
  6. Step 6: Final answer
    x = 30,056.42

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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.