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Finding the Fourth Proportional to 37,048, 51,126.24 and 20,281

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Solution

The fourth proportional to 37,048, 51,126.24 and 20,281 is: 27,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,048 : 51,126.24 = 20,281 : x
  2. Step 2: Convert to fraction form
    37,048/51,126.24 = 20,281/x
  3. Step 3: Cross multiply
    37,048x = 51,126.24 × 20,281
  4. Step 4: Simplify right side
    37,048x = 1,036,891,273.44
  5. Step 5: Solve for x
    x = 1,036,891,273.44/37,048
  6. Step 6: Final answer
    x = 27,987.78

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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.