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Finding the Fourth Proportional to 3,322.90, 4,982.42 and 1,990.02

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Solution

The fourth proportional to 3,322.90, 4,982.42 and 1,990.02 is: 2,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.90 : 4,982.42 = 1,990.02 : x
  2. Step 2: Convert to fraction form
    3,322.90/4,982.42 = 1,990.02/x
  3. Step 3: Cross multiply
    3,322.90x = 4,982.42 × 1,990.02
  4. Step 4: Simplify right side
    3,322.90x = 9,915,115.45
  5. Step 5: Solve for x
    x = 9,915,115.45/3,322.90
  6. Step 6: Final answer
    x = 2,983.87

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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.