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Finding the Fourth Proportional to 17,578, 26,367 and 5,266

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Solution

The fourth proportional to 17,578, 26,367 and 5,266 is: 7,899

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578 : 26,367 = 5,266 : x
  2. Step 2: Convert to fraction form
    17,578/26,367 = 5,266/x
  3. Step 3: Cross multiply
    17,578x = 26,367 × 5,266
  4. Step 4: Simplify right side
    17,578x = 138,848,622
  5. Step 5: Solve for x
    x = 138,848,622/17,578
  6. Step 6: Final answer
    x = 7,899

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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.