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Finding the Fourth Proportional to 3,982.38, 5,975.25 and 2,133

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Solution

The fourth proportional to 3,982.38, 5,975.25 and 2,133 is: 3,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.38 : 5,975.25 = 2,133 : x
  2. Step 2: Convert to fraction form
    3,982.38/5,975.25 = 2,133/x
  3. Step 3: Cross multiply
    3,982.38x = 5,975.25 × 2,133
  4. Step 4: Simplify right side
    3,982.38x = 12,745,208.25
  5. Step 5: Solve for x
    x = 12,745,208.25/3,982.38
  6. Step 6: Final answer
    x = 3,200.40

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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.