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Finding the Fourth Proportional to 37,638, 51,939.84 and 20,642.64

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Solution

The fourth proportional to 37,638, 51,939.84 and 20,642.64 is: 28,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,638 : 51,939.84 = 20,642.64 : x
  2. Step 2: Convert to fraction form
    37,638/51,939.84 = 20,642.64/x
  3. Step 3: Cross multiply
    37,638x = 51,939.84 × 20,642.64
  4. Step 4: Simplify right side
    37,638x = 1,072,175,418.78
  5. Step 5: Solve for x
    x = 1,072,175,418.78/37,638
  6. Step 6: Final answer
    x = 28,486.51

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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.