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Finding the Fourth Proportional to 5,230.74, 7,836.78 and 2,760.03

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Solution

The fourth proportional to 5,230.74, 7,836.78 and 2,760.03 is: 4,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.74 : 7,836.78 = 2,760.03 : x
  2. Step 2: Convert to fraction form
    5,230.74/7,836.78 = 2,760.03/x
  3. Step 3: Cross multiply
    5,230.74x = 7,836.78 × 2,760.03
  4. Step 4: Simplify right side
    5,230.74x = 21,629,747.90
  5. Step 5: Solve for x
    x = 21,629,747.90/5,230.74
  6. Step 6: Final answer
    x = 4,135.12

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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.