Home / 2,120.92-3,181.37-822.38

Finding the Fourth Proportional to 2,120.92, 3,181.37 and 822.38

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Solution

The fourth proportional to 2,120.92, 3,181.37 and 822.38 is: 1,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.92 : 3,181.37 = 822.38 : x
  2. Step 2: Convert to fraction form
    2,120.92/3,181.37 = 822.38/x
  3. Step 3: Cross multiply
    2,120.92x = 3,181.37 × 822.38
  4. Step 4: Simplify right side
    2,120.92x = 2,616,275.04
  5. Step 5: Solve for x
    x = 2,616,275.04/2,120.92
  6. Step 6: Final answer
    x = 1,233.56

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1.5x scale

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.