Home / 2,132.57-3,174-2,112.05

Finding the Fourth Proportional to 2,132.57, 3,174 and 2,112.05

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Solution

The fourth proportional to 2,132.57, 3,174 and 2,112.05 is: 3,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.57 : 3,174 = 2,112.05 : x
  2. Step 2: Convert to fraction form
    2,132.57/3,174 = 2,112.05/x
  3. Step 3: Cross multiply
    2,132.57x = 3,174 × 2,112.05
  4. Step 4: Simplify right side
    2,132.57x = 6,703,630.83
  5. Step 5: Solve for x
    x = 6,703,630.83/2,132.57
  6. Step 6: Final answer
    x = 3,143.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.