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Finding the Fourth Proportional to 16,694.64, 25,034.40 and 7,940.16

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Solution

The fourth proportional to 16,694.64, 25,034.40 and 7,940.16 is: 11,906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,694.64 : 25,034.40 = 7,940.16 : x
  2. Step 2: Convert to fraction form
    16,694.64/25,034.40 = 7,940.16/x
  3. Step 3: Cross multiply
    16,694.64x = 25,034.40 × 7,940.16
  4. Step 4: Simplify right side
    16,694.64x = 198,777,141.50
  5. Step 5: Solve for x
    x = 198,777,141.50/16,694.64
  6. Step 6: Final answer
    x = 11,906.64

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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.