Home / 2,121.04-3,182.37-822.61

Finding the Fourth Proportional to 2,121.04, 3,182.37 and 822.61

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Solution

The fourth proportional to 2,121.04, 3,182.37 and 822.61 is: 1,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.04 : 3,182.37 = 822.61 : x
  2. Step 2: Convert to fraction form
    2,121.04/3,182.37 = 822.61/x
  3. Step 3: Cross multiply
    2,121.04x = 3,182.37 × 822.61
  4. Step 4: Simplify right side
    2,121.04x = 2,617,849.39
  5. Step 5: Solve for x
    x = 2,617,849.39/2,121.04
  6. Step 6: Final answer
    x = 1,234.23

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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.