Home / 2,282.21-3,423.18-820.97

Finding the Fourth Proportional to 2,282.21, 3,423.18 and 820.97

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Solution

The fourth proportional to 2,282.21, 3,423.18 and 820.97 is: 1,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.21 : 3,423.18 = 820.97 : x
  2. Step 2: Convert to fraction form
    2,282.21/3,423.18 = 820.97/x
  3. Step 3: Cross multiply
    2,282.21x = 3,423.18 × 820.97
  4. Step 4: Simplify right side
    2,282.21x = 2,810,328.08
  5. Step 5: Solve for x
    x = 2,810,328.08/2,282.21
  6. Step 6: Final answer
    x = 1,231.41

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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.