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Finding the Fourth Proportional to 3,267.82, 4,898.22 and 1,621.09

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Solution

The fourth proportional to 3,267.82, 4,898.22 and 1,621.09 is: 2,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.82 : 4,898.22 = 1,621.09 : x
  2. Step 2: Convert to fraction form
    3,267.82/4,898.22 = 1,621.09/x
  3. Step 3: Cross multiply
    3,267.82x = 4,898.22 × 1,621.09
  4. Step 4: Simplify right side
    3,267.82x = 7,940,455.46
  5. Step 5: Solve for x
    x = 7,940,455.46/3,267.82
  6. Step 6: Final answer
    x = 2,429.89

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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.