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Finding the Fourth Proportional to 37,198, 51,333.24 and 20,431

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Solution

The fourth proportional to 37,198, 51,333.24 and 20,431 is: 28,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,198 : 51,333.24 = 20,431 : x
  2. Step 2: Convert to fraction form
    37,198/51,333.24 = 20,431/x
  3. Step 3: Cross multiply
    37,198x = 51,333.24 × 20,431
  4. Step 4: Simplify right side
    37,198x = 1,048,789,426.44
  5. Step 5: Solve for x
    x = 1,048,789,426.44/37,198
  6. Step 6: Final answer
    x = 28,194.78

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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.