Home / 2,122.12-3,181.56-822.88

Finding the Fourth Proportional to 2,122.12, 3,181.56 and 822.88

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Solution

The fourth proportional to 2,122.12, 3,181.56 and 822.88 is: 1,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.12 : 3,181.56 = 822.88 : x
  2. Step 2: Convert to fraction form
    2,122.12/3,181.56 = 822.88/x
  3. Step 3: Cross multiply
    2,122.12x = 3,181.56 × 822.88
  4. Step 4: Simplify right side
    2,122.12x = 2,618,042.09
  5. Step 5: Solve for x
    x = 2,618,042.09/2,122.12
  6. Step 6: Final answer
    x = 1,233.69

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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.