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Finding the Fourth Proportional to 3,728, 5,144.64 and 2,072

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Solution

The fourth proportional to 3,728, 5,144.64 and 2,072 is: 2,859.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728 : 5,144.64 = 2,072 : x
  2. Step 2: Convert to fraction form
    3,728/5,144.64 = 2,072/x
  3. Step 3: Cross multiply
    3,728x = 5,144.64 × 2,072
  4. Step 4: Simplify right side
    3,728x = 10,659,694.08
  5. Step 5: Solve for x
    x = 10,659,694.08/3,728
  6. Step 6: Final answer
    x = 2,859.36

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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.