Home / 7,982.88-11,972.95-2,138.13

Finding the Fourth Proportional to 7,982.88, 11,972.95 and 2,138.13

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Solution

The fourth proportional to 7,982.88, 11,972.95 and 2,138.13 is: 3,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.88 : 11,972.95 = 2,138.13 : x
  2. Step 2: Convert to fraction form
    7,982.88/11,972.95 = 2,138.13/x
  3. Step 3: Cross multiply
    7,982.88x = 11,972.95 × 2,138.13
  4. Step 4: Simplify right side
    7,982.88x = 25,599,723.58
  5. Step 5: Solve for x
    x = 25,599,723.58/7,982.88
  6. Step 6: Final answer
    x = 3,206.83

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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.