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Finding the Fourth Proportional to 3,324.64, 4,990.03 and 1,682.34

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Solution

The fourth proportional to 3,324.64, 4,990.03 and 1,682.34 is: 2,525.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.64 : 4,990.03 = 1,682.34 : x
  2. Step 2: Convert to fraction form
    3,324.64/4,990.03 = 1,682.34/x
  3. Step 3: Cross multiply
    3,324.64x = 4,990.03 × 1,682.34
  4. Step 4: Simplify right side
    3,324.64x = 8,394,908.88
  5. Step 5: Solve for x
    x = 8,394,908.88/3,324.64
  6. Step 6: Final answer
    x = 2,525.06

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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.