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Finding the Fourth Proportional to 13,694.24, 18,898.14 and 8,027.72

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Solution

The fourth proportional to 13,694.24, 18,898.14 and 8,027.72 is: 11,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.24 : 18,898.14 = 8,027.72 : x
  2. Step 2: Convert to fraction form
    13,694.24/18,898.14 = 8,027.72/x
  3. Step 3: Cross multiply
    13,694.24x = 18,898.14 × 8,027.72
  4. Step 4: Simplify right side
    13,694.24x = 151,708,976.44
  5. Step 5: Solve for x
    x = 151,708,976.44/13,694.24
  6. Step 6: Final answer
    x = 11,078.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.