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Finding the Fourth Proportional to 17,794, 26,694.79 and 5,315

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Solution

The fourth proportional to 17,794, 26,694.79 and 5,315 is: 7,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,794 : 26,694.79 = 5,315 : x
  2. Step 2: Convert to fraction form
    17,794/26,694.79 = 5,315/x
  3. Step 3: Cross multiply
    17,794x = 26,694.79 × 5,315
  4. Step 4: Simplify right side
    17,794x = 141,882,808.85
  5. Step 5: Solve for x
    x = 141,882,808.85/17,794
  6. Step 6: Final answer
    x = 7,973.63

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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.