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Finding the Fourth Proportional to 3,324.08, 4,986.09 and 984.11

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Solution

The fourth proportional to 3,324.08, 4,986.09 and 984.11 is: 1,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.08 : 4,986.09 = 984.11 : x
  2. Step 2: Convert to fraction form
    3,324.08/4,986.09 = 984.11/x
  3. Step 3: Cross multiply
    3,324.08x = 4,986.09 × 984.11
  4. Step 4: Simplify right side
    3,324.08x = 4,906,836.10
  5. Step 5: Solve for x
    x = 4,906,836.10/3,324.08
  6. Step 6: Final answer
    x = 1,476.15

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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.