Home / 2,821-3,890.42-2,422.54

Finding the Fourth Proportional to 2,821, 3,890.42 and 2,422.54

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Solution

The fourth proportional to 2,821, 3,890.42 and 2,422.54 is: 3,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821 : 3,890.42 = 2,422.54 : x
  2. Step 2: Convert to fraction form
    2,821/3,890.42 = 2,422.54/x
  3. Step 3: Cross multiply
    2,821x = 3,890.42 × 2,422.54
  4. Step 4: Simplify right side
    2,821x = 9,424,698.07
  5. Step 5: Solve for x
    x = 9,424,698.07/2,821
  6. Step 6: Final answer
    x = 3,340.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.