Home / 2,141.39-3,211.76-680.36

Finding the Fourth Proportional to 2,141.39, 3,211.76 and 680.36

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Solution

The fourth proportional to 2,141.39, 3,211.76 and 680.36 is: 1,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.39 : 3,211.76 = 680.36 : x
  2. Step 2: Convert to fraction form
    2,141.39/3,211.76 = 680.36/x
  3. Step 3: Cross multiply
    2,141.39x = 3,211.76 × 680.36
  4. Step 4: Simplify right side
    2,141.39x = 2,185,138.68
  5. Step 5: Solve for x
    x = 2,185,138.68/2,141.39
  6. Step 6: Final answer
    x = 1,020.43

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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.