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Finding the Fourth Proportional to 3,865.28, 5,791.73 and 3,762.77

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Solution

The fourth proportional to 3,865.28, 5,791.73 and 3,762.77 is: 5,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.28 : 5,791.73 = 3,762.77 : x
  2. Step 2: Convert to fraction form
    3,865.28/5,791.73 = 3,762.77/x
  3. Step 3: Cross multiply
    3,865.28x = 5,791.73 × 3,762.77
  4. Step 4: Simplify right side
    3,865.28x = 21,792,900.12
  5. Step 5: Solve for x
    x = 21,792,900.12/3,865.28
  6. Step 6: Final answer
    x = 5,638.12

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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.