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Finding the Fourth Proportional to 37,764, 52,115.94 and 20,997

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Solution

The fourth proportional to 37,764, 52,115.94 and 20,997 is: 28,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,764 : 52,115.94 = 20,997 : x
  2. Step 2: Convert to fraction form
    37,764/52,115.94 = 20,997/x
  3. Step 3: Cross multiply
    37,764x = 52,115.94 × 20,997
  4. Step 4: Simplify right side
    37,764x = 1,094,278,392.18
  5. Step 5: Solve for x
    x = 1,094,278,392.18/37,764
  6. Step 6: Final answer
    x = 28,976.76

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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.