Home / 2,205.38-3,311.86-2,112.50

Finding the Fourth Proportional to 2,205.38, 3,311.86 and 2,112.50

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Solution

The fourth proportional to 2,205.38, 3,311.86 and 2,112.50 is: 3,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.38 : 3,311.86 = 2,112.50 : x
  2. Step 2: Convert to fraction form
    2,205.38/3,311.86 = 2,112.50/x
  3. Step 3: Cross multiply
    2,205.38x = 3,311.86 × 2,112.50
  4. Step 4: Simplify right side
    2,205.38x = 6,996,304.25
  5. Step 5: Solve for x
    x = 6,996,304.25/2,205.38
  6. Step 6: Final answer
    x = 3,172.38

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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.