Home / 2,204.64-3,304.80-905.76

Finding the Fourth Proportional to 2,204.64, 3,304.80 and 905.76

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Solution

The fourth proportional to 2,204.64, 3,304.80 and 905.76 is: 1,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.64 : 3,304.80 = 905.76 : x
  2. Step 2: Convert to fraction form
    2,204.64/3,304.80 = 905.76/x
  3. Step 3: Cross multiply
    2,204.64x = 3,304.80 × 905.76
  4. Step 4: Simplify right side
    2,204.64x = 2,993,355.65
  5. Step 5: Solve for x
    x = 2,993,355.65/2,204.64
  6. Step 6: Final answer
    x = 1,357.75

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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.