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Finding the Fourth Proportional to 3,982.88, 5,976 and 2,133.50

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Solution

The fourth proportional to 3,982.88, 5,976 and 2,133.50 is: 3,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.88 : 5,976 = 2,133.50 : x
  2. Step 2: Convert to fraction form
    3,982.88/5,976 = 2,133.50/x
  3. Step 3: Cross multiply
    3,982.88x = 5,976 × 2,133.50
  4. Step 4: Simplify right side
    3,982.88x = 12,749,796
  5. Step 5: Solve for x
    x = 12,749,796/3,982.88
  6. Step 6: Final answer
    x = 3,201.15

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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.