Home / 2,211.53-3,318.60-825.84

Finding the Fourth Proportional to 2,211.53, 3,318.60 and 825.84

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Solution

The fourth proportional to 2,211.53, 3,318.60 and 825.84 is: 1,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.53 : 3,318.60 = 825.84 : x
  2. Step 2: Convert to fraction form
    2,211.53/3,318.60 = 825.84/x
  3. Step 3: Cross multiply
    2,211.53x = 3,318.60 × 825.84
  4. Step 4: Simplify right side
    2,211.53x = 2,740,632.62
  5. Step 5: Solve for x
    x = 2,740,632.62/2,211.53
  6. Step 6: Final answer
    x = 1,239.25

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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.