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Finding the Fourth Proportional to 1,912.79, 2,640.31 and 1,205.83

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Solution

The fourth proportional to 1,912.79, 2,640.31 and 1,205.83 is: 1,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.79 : 2,640.31 = 1,205.83 : x
  2. Step 2: Convert to fraction form
    1,912.79/2,640.31 = 1,205.83/x
  3. Step 3: Cross multiply
    1,912.79x = 2,640.31 × 1,205.83
  4. Step 4: Simplify right side
    1,912.79x = 3,183,751.81
  5. Step 5: Solve for x
    x = 3,183,751.81/1,912.79
  6. Step 6: Final answer
    x = 1,664.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.