Home / 2,204.64-3,305.91-1,280.49

Finding the Fourth Proportional to 2,204.64, 3,305.91 and 1,280.49

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Solution

The fourth proportional to 2,204.64, 3,305.91 and 1,280.49 is: 1,920.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.64 : 3,305.91 = 1,280.49 : x
  2. Step 2: Convert to fraction form
    2,204.64/3,305.91 = 1,280.49/x
  3. Step 3: Cross multiply
    2,204.64x = 3,305.91 × 1,280.49
  4. Step 4: Simplify right side
    2,204.64x = 4,233,177.10
  5. Step 5: Solve for x
    x = 4,233,177.10/2,204.64
  6. Step 6: Final answer
    x = 1,920.12

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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.