Home / 3,822-5,274.48-2,251.44

Finding the Fourth Proportional to 3,822, 5,274.48 and 2,251.44

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Solution

The fourth proportional to 3,822, 5,274.48 and 2,251.44 is: 3,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822 : 5,274.48 = 2,251.44 : x
  2. Step 2: Convert to fraction form
    3,822/5,274.48 = 2,251.44/x
  3. Step 3: Cross multiply
    3,822x = 5,274.48 × 2,251.44
  4. Step 4: Simplify right side
    3,822x = 11,875,175.25
  5. Step 5: Solve for x
    x = 11,875,175.25/3,822
  6. Step 6: Final answer
    x = 3,107.06

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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.