Home / 2,212.27-3,318.63-825.29

Finding the Fourth Proportional to 2,212.27, 3,318.63 and 825.29

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Solution

The fourth proportional to 2,212.27, 3,318.63 and 825.29 is: 1,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.27 : 3,318.63 = 825.29 : x
  2. Step 2: Convert to fraction form
    2,212.27/3,318.63 = 825.29/x
  3. Step 3: Cross multiply
    2,212.27x = 3,318.63 × 825.29
  4. Step 4: Simplify right side
    2,212.27x = 2,738,832.15
  5. Step 5: Solve for x
    x = 2,738,832.15/2,212.27
  6. Step 6: Final answer
    x = 1,238.02

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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.