Home / 2,138.84-3,208.44-822.91

Finding the Fourth Proportional to 2,138.84, 3,208.44 and 822.91

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Solution

The fourth proportional to 2,138.84, 3,208.44 and 822.91 is: 1,234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.84 : 3,208.44 = 822.91 : x
  2. Step 2: Convert to fraction form
    2,138.84/3,208.44 = 822.91/x
  3. Step 3: Cross multiply
    2,138.84x = 3,208.44 × 822.91
  4. Step 4: Simplify right side
    2,138.84x = 2,640,258.44
  5. Step 5: Solve for x
    x = 2,640,258.44/2,138.84
  6. Step 6: Final answer
    x = 1,234.44

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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.