Home / 2,120.64-3,180.69-821.22

Finding the Fourth Proportional to 2,120.64, 3,180.69 and 821.22

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Solution

The fourth proportional to 2,120.64, 3,180.69 and 821.22 is: 1,231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.64 : 3,180.69 = 821.22 : x
  2. Step 2: Convert to fraction form
    2,120.64/3,180.69 = 821.22/x
  3. Step 3: Cross multiply
    2,120.64x = 3,180.69 × 821.22
  4. Step 4: Simplify right side
    2,120.64x = 2,612,046.24
  5. Step 5: Solve for x
    x = 2,612,046.24/2,120.64
  6. Step 6: Final answer
    x = 1,231.73

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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.