Home / 3,825.64-5,738.46-1,228.78

Finding the Fourth Proportional to 3,825.64, 5,738.46 and 1,228.78

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Solution

The fourth proportional to 3,825.64, 5,738.46 and 1,228.78 is: 1,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.64 : 5,738.46 = 1,228.78 : x
  2. Step 2: Convert to fraction form
    3,825.64/5,738.46 = 1,228.78/x
  3. Step 3: Cross multiply
    3,825.64x = 5,738.46 × 1,228.78
  4. Step 4: Simplify right side
    3,825.64x = 7,051,304.88
  5. Step 5: Solve for x
    x = 7,051,304.88/3,825.64
  6. Step 6: Final answer
    x = 1,843.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.