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Finding the Fourth Proportional to 2,692.92, 4,036.94 and 961.14

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Solution

The fourth proportional to 2,692.92, 4,036.94 and 961.14 is: 1,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.92 : 4,036.94 = 961.14 : x
  2. Step 2: Convert to fraction form
    2,692.92/4,036.94 = 961.14/x
  3. Step 3: Cross multiply
    2,692.92x = 4,036.94 × 961.14
  4. Step 4: Simplify right side
    2,692.92x = 3,880,078.45
  5. Step 5: Solve for x
    x = 3,880,078.45/2,692.92
  6. Step 6: Final answer
    x = 1,440.84

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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.