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Finding the Fourth Proportional to 13,651.97, 20,477.04 and 3,791.34

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Solution

The fourth proportional to 13,651.97, 20,477.04 and 3,791.34 is: 5,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.97 : 20,477.04 = 3,791.34 : x
  2. Step 2: Convert to fraction form
    13,651.97/20,477.04 = 3,791.34/x
  3. Step 3: Cross multiply
    13,651.97x = 20,477.04 × 3,791.34
  4. Step 4: Simplify right side
    13,651.97x = 77,635,420.83
  5. Step 5: Solve for x
    x = 77,635,420.83/13,651.97
  6. Step 6: Final answer
    x = 5,686.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.