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Finding the Fourth Proportional to 36,815, 50,805.24 and 20,048

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Solution

The fourth proportional to 36,815, 50,805.24 and 20,048 is: 27,666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,815 : 50,805.24 = 20,048 : x
  2. Step 2: Convert to fraction form
    36,815/50,805.24 = 20,048/x
  3. Step 3: Cross multiply
    36,815x = 50,805.24 × 20,048
  4. Step 4: Simplify right side
    36,815x = 1,018,543,451.52
  5. Step 5: Solve for x
    x = 1,018,543,451.52/36,815
  6. Step 6: Final answer
    x = 27,666.53

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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.