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Finding the Fourth Proportional to 2,281.96, 3,423.24 and 821

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Solution

The fourth proportional to 2,281.96, 3,423.24 and 821 is: 1,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.96 : 3,423.24 = 821 : x
  2. Step 2: Convert to fraction form
    2,281.96/3,423.24 = 821/x
  3. Step 3: Cross multiply
    2,281.96x = 3,423.24 × 821
  4. Step 4: Simplify right side
    2,281.96x = 2,810,480.04
  5. Step 5: Solve for x
    x = 2,810,480.04/2,281.96
  6. Step 6: Final answer
    x = 1,231.61

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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.