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Finding the Fourth Proportional to 2,734.56, 4,102.04 and 786.92

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Solution

The fourth proportional to 2,734.56, 4,102.04 and 786.92 is: 1,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.56 : 4,102.04 = 786.92 : x
  2. Step 2: Convert to fraction form
    2,734.56/4,102.04 = 786.92/x
  3. Step 3: Cross multiply
    2,734.56x = 4,102.04 × 786.92
  4. Step 4: Simplify right side
    2,734.56x = 3,227,958.77
  5. Step 5: Solve for x
    x = 3,227,958.77/2,734.56
  6. Step 6: Final answer
    x = 1,180.43

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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.