Home / 2,205.80-3,305.88-905.72

Finding the Fourth Proportional to 2,205.80, 3,305.88 and 905.72

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Solution

The fourth proportional to 2,205.80, 3,305.88 and 905.72 is: 1,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.80 : 3,305.88 = 905.72 : x
  2. Step 2: Convert to fraction form
    2,205.80/3,305.88 = 905.72/x
  3. Step 3: Cross multiply
    2,205.80x = 3,305.88 × 905.72
  4. Step 4: Simplify right side
    2,205.80x = 2,994,201.63
  5. Step 5: Solve for x
    x = 2,994,201.63/2,205.80
  6. Step 6: Final answer
    x = 1,357.42

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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.