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Finding the Fourth Proportional to 2,734.78, 4,102.14 and 682.78

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Solution

The fourth proportional to 2,734.78, 4,102.14 and 682.78 is: 1,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.78 : 4,102.14 = 682.78 : x
  2. Step 2: Convert to fraction form
    2,734.78/4,102.14 = 682.78/x
  3. Step 3: Cross multiply
    2,734.78x = 4,102.14 × 682.78
  4. Step 4: Simplify right side
    2,734.78x = 2,800,859.15
  5. Step 5: Solve for x
    x = 2,800,859.15/2,734.78
  6. Step 6: Final answer
    x = 1,024.16

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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.