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Finding the Fourth Proportional to 3,321.42, 4,982.42 and 1,676.91

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Solution

The fourth proportional to 3,321.42, 4,982.42 and 1,676.91 is: 2,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.42 : 4,982.42 = 1,676.91 : x
  2. Step 2: Convert to fraction form
    3,321.42/4,982.42 = 1,676.91/x
  3. Step 3: Cross multiply
    3,321.42x = 4,982.42 × 1,676.91
  4. Step 4: Simplify right side
    3,321.42x = 8,355,069.92
  5. Step 5: Solve for x
    x = 8,355,069.92/3,321.42
  6. Step 6: Final answer
    x = 2,515.51

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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.