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Finding the Fourth Proportional to 5,100.75, 7,654.05 and 2,760.75

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Solution

The fourth proportional to 5,100.75, 7,654.05 and 2,760.75 is: 4,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.75 : 7,654.05 = 2,760.75 : x
  2. Step 2: Convert to fraction form
    5,100.75/7,654.05 = 2,760.75/x
  3. Step 3: Cross multiply
    5,100.75x = 7,654.05 × 2,760.75
  4. Step 4: Simplify right side
    5,100.75x = 21,130,918.54
  5. Step 5: Solve for x
    x = 21,130,918.54/5,100.75
  6. Step 6: Final answer
    x = 4,142.71

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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.