Home / 2,120.88-3,182.26-822.45

Finding the Fourth Proportional to 2,120.88, 3,182.26 and 822.45

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Solution

The fourth proportional to 2,120.88, 3,182.26 and 822.45 is: 1,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.88 : 3,182.26 = 822.45 : x
  2. Step 2: Convert to fraction form
    2,120.88/3,182.26 = 822.45/x
  3. Step 3: Cross multiply
    2,120.88x = 3,182.26 × 822.45
  4. Step 4: Simplify right side
    2,120.88x = 2,617,249.74
  5. Step 5: Solve for x
    x = 2,617,249.74/2,120.88
  6. Step 6: Final answer
    x = 1,234.04

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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.