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Finding the Fourth Proportional to 18,016, 27,028.32 and 5,704

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Solution

The fourth proportional to 18,016, 27,028.32 and 5,704 is: 8,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,016 : 27,028.32 = 5,704 : x
  2. Step 2: Convert to fraction form
    18,016/27,028.32 = 5,704/x
  3. Step 3: Cross multiply
    18,016x = 27,028.32 × 5,704
  4. Step 4: Simplify right side
    18,016x = 154,169,537.28
  5. Step 5: Solve for x
    x = 154,169,537.28/18,016
  6. Step 6: Final answer
    x = 8,557.37

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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.