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Finding the Fourth Proportional to 2,640.76, 3,961.56 and 1,179.84

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Solution

The fourth proportional to 2,640.76, 3,961.56 and 1,179.84 is: 1,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.76 : 3,961.56 = 1,179.84 : x
  2. Step 2: Convert to fraction form
    2,640.76/3,961.56 = 1,179.84/x
  3. Step 3: Cross multiply
    2,640.76x = 3,961.56 × 1,179.84
  4. Step 4: Simplify right side
    2,640.76x = 4,674,006.95
  5. Step 5: Solve for x
    x = 4,674,006.95/2,640.76
  6. Step 6: Final answer
    x = 1,769.95

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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.