Home / 2,111.21-3,163.35-723.80

Finding the Fourth Proportional to 2,111.21, 3,163.35 and 723.80

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Solution

The fourth proportional to 2,111.21, 3,163.35 and 723.80 is: 1,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.21 : 3,163.35 = 723.80 : x
  2. Step 2: Convert to fraction form
    2,111.21/3,163.35 = 723.80/x
  3. Step 3: Cross multiply
    2,111.21x = 3,163.35 × 723.80
  4. Step 4: Simplify right side
    2,111.21x = 2,289,616.91
  5. Step 5: Solve for x
    x = 2,289,616.91/2,111.21
  6. Step 6: Final answer
    x = 1,084.51

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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.