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Finding the Fourth Proportional to 36,725, 50,684.82 and 21,821

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Solution

The fourth proportional to 36,725, 50,684.82 and 21,821 is: 30,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,725 : 50,684.82 = 21,821 : x
  2. Step 2: Convert to fraction form
    36,725/50,684.82 = 21,821/x
  3. Step 3: Cross multiply
    36,725x = 50,684.82 × 21,821
  4. Step 4: Simplify right side
    36,725x = 1,105,993,457.22
  5. Step 5: Solve for x
    x = 1,105,993,457.22/36,725
  6. Step 6: Final answer
    x = 30,115.55

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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.