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Finding the Fourth Proportional to 2,912.82, 4,018.05 and 1,734.27

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Solution

The fourth proportional to 2,912.82, 4,018.05 and 1,734.27 is: 2,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.82 : 4,018.05 = 1,734.27 : x
  2. Step 2: Convert to fraction form
    2,912.82/4,018.05 = 1,734.27/x
  3. Step 3: Cross multiply
    2,912.82x = 4,018.05 × 1,734.27
  4. Step 4: Simplify right side
    2,912.82x = 6,968,383.57
  5. Step 5: Solve for x
    x = 6,968,383.57/2,912.82
  6. Step 6: Final answer
    x = 2,392.32

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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.