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Finding the Fourth Proportional to 2,112.02, 3,168.38 and 725.02

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Solution

The fourth proportional to 2,112.02, 3,168.38 and 725.02 is: 1,087.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.02 : 3,168.38 = 725.02 : x
  2. Step 2: Convert to fraction form
    2,112.02/3,168.38 = 725.02/x
  3. Step 3: Cross multiply
    2,112.02x = 3,168.38 × 725.02
  4. Step 4: Simplify right side
    2,112.02x = 2,297,138.87
  5. Step 5: Solve for x
    x = 2,297,138.87/2,112.02
  6. Step 6: Final answer
    x = 1,087.65

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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.