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Finding the Fourth Proportional to 2,692.76, 4,039.28 and 961.38

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Solution

The fourth proportional to 2,692.76, 4,039.28 and 961.38 is: 1,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.76 : 4,039.28 = 961.38 : x
  2. Step 2: Convert to fraction form
    2,692.76/4,039.28 = 961.38/x
  3. Step 3: Cross multiply
    2,692.76x = 4,039.28 × 961.38
  4. Step 4: Simplify right side
    2,692.76x = 3,883,283.01
  5. Step 5: Solve for x
    x = 3,883,283.01/2,692.76
  6. Step 6: Final answer
    x = 1,442.12

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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.