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Finding the Fourth Proportional to 15,850, 21,873 and 9,226

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Solution

The fourth proportional to 15,850, 21,873 and 9,226 is: 12,731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,850 : 21,873 = 9,226 : x
  2. Step 2: Convert to fraction form
    15,850/21,873 = 9,226/x
  3. Step 3: Cross multiply
    15,850x = 21,873 × 9,226
  4. Step 4: Simplify right side
    15,850x = 201,800,298
  5. Step 5: Solve for x
    x = 201,800,298/15,850
  6. Step 6: Final answer
    x = 12,731.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.