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Finding the Fourth Proportional to 27,305, 40,964 and 8,837

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Solution

The fourth proportional to 27,305, 40,964 and 8,837 is: 13,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,305 : 40,964 = 8,837 : x
  2. Step 2: Convert to fraction form
    27,305/40,964 = 8,837/x
  3. Step 3: Cross multiply
    27,305x = 40,964 × 8,837
  4. Step 4: Simplify right side
    27,305x = 361,998,868
  5. Step 5: Solve for x
    x = 361,998,868/27,305
  6. Step 6: Final answer
    x = 13,257.60

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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.