Home / 2,538.30-3,812.94-2,149.09

Finding the Fourth Proportional to 2,538.30, 3,812.94 and 2,149.09

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Solution

The fourth proportional to 2,538.30, 3,812.94 and 2,149.09 is: 3,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.30 : 3,812.94 = 2,149.09 : x
  2. Step 2: Convert to fraction form
    2,538.30/3,812.94 = 2,149.09/x
  3. Step 3: Cross multiply
    2,538.30x = 3,812.94 × 2,149.09
  4. Step 4: Simplify right side
    2,538.30x = 8,194,351.22
  5. Step 5: Solve for x
    x = 8,194,351.22/2,538.30
  6. Step 6: Final answer
    x = 3,228.28

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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.