Home / 4,086-5,638.80-2,223.12

Finding the Fourth Proportional to 4,086, 5,638.80 and 2,223.12

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Solution

The fourth proportional to 4,086, 5,638.80 and 2,223.12 is: 3,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086 : 5,638.80 = 2,223.12 : x
  2. Step 2: Convert to fraction form
    4,086/5,638.80 = 2,223.12/x
  3. Step 3: Cross multiply
    4,086x = 5,638.80 × 2,223.12
  4. Step 4: Simplify right side
    4,086x = 12,535,729.06
  5. Step 5: Solve for x
    x = 12,535,729.06/4,086
  6. Step 6: Final answer
    x = 3,067.97

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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.