Home / 2,828.58-3,899.85-2,022

Finding the Fourth Proportional to 2,828.58, 3,899.85 and 2,022

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Solution

The fourth proportional to 2,828.58, 3,899.85 and 2,022 is: 2,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.58 : 3,899.85 = 2,022 : x
  2. Step 2: Convert to fraction form
    2,828.58/3,899.85 = 2,022/x
  3. Step 3: Cross multiply
    2,828.58x = 3,899.85 × 2,022
  4. Step 4: Simplify right side
    2,828.58x = 7,885,496.70
  5. Step 5: Solve for x
    x = 7,885,496.70/2,828.58
  6. Step 6: Final answer
    x = 2,787.79

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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.