Home / 2,023.19-3,033.31-635.78

Finding the Fourth Proportional to 2,023.19, 3,033.31 and 635.78

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Solution

The fourth proportional to 2,023.19, 3,033.31 and 635.78 is: 953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.19 : 3,033.31 = 635.78 : x
  2. Step 2: Convert to fraction form
    2,023.19/3,033.31 = 635.78/x
  3. Step 3: Cross multiply
    2,023.19x = 3,033.31 × 635.78
  4. Step 4: Simplify right side
    2,023.19x = 1,928,517.83
  5. Step 5: Solve for x
    x = 1,928,517.83/2,023.19
  6. Step 6: Final answer
    x = 953.21

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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.