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Finding the Fourth Proportional to 2,223, 3,067.74 and 1,338.84

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Solution

The fourth proportional to 2,223, 3,067.74 and 1,338.84 is: 1,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223 : 3,067.74 = 1,338.84 : x
  2. Step 2: Convert to fraction form
    2,223/3,067.74 = 1,338.84/x
  3. Step 3: Cross multiply
    2,223x = 3,067.74 × 1,338.84
  4. Step 4: Simplify right side
    2,223x = 4,107,213.02
  5. Step 5: Solve for x
    x = 4,107,213.02/2,223
  6. Step 6: Final answer
    x = 1,847.60

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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.