Home / 2,121.24-3,182.04-822.72

Finding the Fourth Proportional to 2,121.24, 3,182.04 and 822.72

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Solution

The fourth proportional to 2,121.24, 3,182.04 and 822.72 is: 1,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.24 : 3,182.04 = 822.72 : x
  2. Step 2: Convert to fraction form
    2,121.24/3,182.04 = 822.72/x
  3. Step 3: Cross multiply
    2,121.24x = 3,182.04 × 822.72
  4. Step 4: Simplify right side
    2,121.24x = 2,617,927.95
  5. Step 5: Solve for x
    x = 2,617,927.95/2,121.24
  6. Step 6: Final answer
    x = 1,234.15

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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.