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Finding the Fourth Proportional to 2,757.73, 3,806 and 1,563.07

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Solution

The fourth proportional to 2,757.73, 3,806 and 1,563.07 is: 2,157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.73 : 3,806 = 1,563.07 : x
  2. Step 2: Convert to fraction form
    2,757.73/3,806 = 1,563.07/x
  3. Step 3: Cross multiply
    2,757.73x = 3,806 × 1,563.07
  4. Step 4: Simplify right side
    2,757.73x = 5,949,044.42
  5. Step 5: Solve for x
    x = 5,949,044.42/2,757.73
  6. Step 6: Final answer
    x = 2,157.23

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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.