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Finding the Fourth Proportional to 5,791.89, 8,687.90 and 3,830.07

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Solution

The fourth proportional to 5,791.89, 8,687.90 and 3,830.07 is: 5,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.89 : 8,687.90 = 3,830.07 : x
  2. Step 2: Convert to fraction form
    5,791.89/8,687.90 = 3,830.07/x
  3. Step 3: Cross multiply
    5,791.89x = 8,687.90 × 3,830.07
  4. Step 4: Simplify right side
    5,791.89x = 33,275,274.73
  5. Step 5: Solve for x
    x = 33,275,274.73/5,791.89
  6. Step 6: Final answer
    x = 5,745.15

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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.