Home / 2,277.60-3,414.68-961.76

Finding the Fourth Proportional to 2,277.60, 3,414.68 and 961.76

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Solution

The fourth proportional to 2,277.60, 3,414.68 and 961.76 is: 1,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.60 : 3,414.68 = 961.76 : x
  2. Step 2: Convert to fraction form
    2,277.60/3,414.68 = 961.76/x
  3. Step 3: Cross multiply
    2,277.60x = 3,414.68 × 961.76
  4. Step 4: Simplify right side
    2,277.60x = 3,284,102.64
  5. Step 5: Solve for x
    x = 3,284,102.64/2,277.60
  6. Step 6: Final answer
    x = 1,441.91

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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.