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Finding the Fourth Proportional to 2,570.80, 3,850.80 and 2,138.80

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Solution

The fourth proportional to 2,570.80, 3,850.80 and 2,138.80 is: 3,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.80 : 3,850.80 = 2,138.80 : x
  2. Step 2: Convert to fraction form
    2,570.80/3,850.80 = 2,138.80/x
  3. Step 3: Cross multiply
    2,570.80x = 3,850.80 × 2,138.80
  4. Step 4: Simplify right side
    2,570.80x = 8,236,091.04
  5. Step 5: Solve for x
    x = 8,236,091.04/2,570.80
  6. Step 6: Final answer
    x = 3,203.71

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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.