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Finding the Fourth Proportional to 2,692.92, 4,039.86 and 961.14

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Solution

The fourth proportional to 2,692.92, 4,039.86 and 961.14 is: 1,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.92 : 4,039.86 = 961.14 : x
  2. Step 2: Convert to fraction form
    2,692.92/4,039.86 = 961.14/x
  3. Step 3: Cross multiply
    2,692.92x = 4,039.86 × 961.14
  4. Step 4: Simplify right side
    2,692.92x = 3,882,871.04
  5. Step 5: Solve for x
    x = 3,882,871.04/2,692.92
  6. Step 6: Final answer
    x = 1,441.88

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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.