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Finding the Fourth Proportional to 6,751.78, 10,127.60 and 2,134.78

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Solution

The fourth proportional to 6,751.78, 10,127.60 and 2,134.78 is: 3,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.78 : 10,127.60 = 2,134.78 : x
  2. Step 2: Convert to fraction form
    6,751.78/10,127.60 = 2,134.78/x
  3. Step 3: Cross multiply
    6,751.78x = 10,127.60 × 2,134.78
  4. Step 4: Simplify right side
    6,751.78x = 21,620,197.93
  5. Step 5: Solve for x
    x = 21,620,197.93/6,751.78
  6. Step 6: Final answer
    x = 3,202.15

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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.