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Finding the Fourth Proportional to 17,940.64, 26,904.03 and 8,578.16

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Solution

The fourth proportional to 17,940.64, 26,904.03 and 8,578.16 is: 12,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,940.64 : 26,904.03 = 8,578.16 : x
  2. Step 2: Convert to fraction form
    17,940.64/26,904.03 = 8,578.16/x
  3. Step 3: Cross multiply
    17,940.64x = 26,904.03 × 8,578.16
  4. Step 4: Simplify right side
    17,940.64x = 230,786,896.57
  5. Step 5: Solve for x
    x = 230,786,896.57/17,940.64
  6. Step 6: Final answer
    x = 12,863.91

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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.