Home / 2,120.62-3,181.41-822.46

Finding the Fourth Proportional to 2,120.62, 3,181.41 and 822.46

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Solution

The fourth proportional to 2,120.62, 3,181.41 and 822.46 is: 1,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.62 : 3,181.41 = 822.46 : x
  2. Step 2: Convert to fraction form
    2,120.62/3,181.41 = 822.46/x
  3. Step 3: Cross multiply
    2,120.62x = 3,181.41 × 822.46
  4. Step 4: Simplify right side
    2,120.62x = 2,616,582.47
  5. Step 5: Solve for x
    x = 2,616,582.47/2,120.62
  6. Step 6: Final answer
    x = 1,233.88

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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.