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Finding the Fourth Proportional to 4,086, 5,638.68 and 2,223

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Solution

The fourth proportional to 4,086, 5,638.68 and 2,223 is: 3,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086 : 5,638.68 = 2,223 : x
  2. Step 2: Convert to fraction form
    4,086/5,638.68 = 2,223/x
  3. Step 3: Cross multiply
    4,086x = 5,638.68 × 2,223
  4. Step 4: Simplify right side
    4,086x = 12,534,785.64
  5. Step 5: Solve for x
    x = 12,534,785.64/4,086
  6. Step 6: Final answer
    x = 3,067.74

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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.