Home / 2,121.60-3,182.67-822.90

Finding the Fourth Proportional to 2,121.60, 3,182.67 and 822.90

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Solution

The fourth proportional to 2,121.60, 3,182.67 and 822.90 is: 1,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.60 : 3,182.67 = 822.90 : x
  2. Step 2: Convert to fraction form
    2,121.60/3,182.67 = 822.90/x
  3. Step 3: Cross multiply
    2,121.60x = 3,182.67 × 822.90
  4. Step 4: Simplify right side
    2,121.60x = 2,619,019.14
  5. Step 5: Solve for x
    x = 2,619,019.14/2,121.60
  6. Step 6: Final answer
    x = 1,234.45

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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.