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Finding the Fourth Proportional to 2,640.62, 3,957.69 and 1,912.70

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Solution

The fourth proportional to 2,640.62, 3,957.69 and 1,912.70 is: 2,866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.62 : 3,957.69 = 1,912.70 : x
  2. Step 2: Convert to fraction form
    2,640.62/3,957.69 = 1,912.70/x
  3. Step 3: Cross multiply
    2,640.62x = 3,957.69 × 1,912.70
  4. Step 4: Simplify right side
    2,640.62x = 7,569,873.66
  5. Step 5: Solve for x
    x = 7,569,873.66/2,640.62
  6. Step 6: Final answer
    x = 2,866.70

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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.