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Finding the Fourth Proportional to 18,431.36, 27,639.84 and 8,036

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Solution

The fourth proportional to 18,431.36, 27,639.84 and 8,036 is: 12,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,431.36 : 27,639.84 = 8,036 : x
  2. Step 2: Convert to fraction form
    18,431.36/27,639.84 = 8,036/x
  3. Step 3: Cross multiply
    18,431.36x = 27,639.84 × 8,036
  4. Step 4: Simplify right side
    18,431.36x = 222,113,754.24
  5. Step 5: Solve for x
    x = 222,113,754.24/18,431.36
  6. Step 6: Final answer
    x = 12,050.86

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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.