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Finding the Fourth Proportional to 18,288, 27,436.32 and 5,976

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Solution

The fourth proportional to 18,288, 27,436.32 and 5,976 is: 8,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,288 : 27,436.32 = 5,976 : x
  2. Step 2: Convert to fraction form
    18,288/27,436.32 = 5,976/x
  3. Step 3: Cross multiply
    18,288x = 27,436.32 × 5,976
  4. Step 4: Simplify right side
    18,288x = 163,959,448.32
  5. Step 5: Solve for x
    x = 163,959,448.32/18,288
  6. Step 6: Final answer
    x = 8,965.41

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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.