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Finding the Fourth Proportional to 21,876, 32,814 and 9,387.96

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Solution

The fourth proportional to 21,876, 32,814 and 9,387.96 is: 14,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876 : 32,814 = 9,387.96 : x
  2. Step 2: Convert to fraction form
    21,876/32,814 = 9,387.96/x
  3. Step 3: Cross multiply
    21,876x = 32,814 × 9,387.96
  4. Step 4: Simplify right side
    21,876x = 308,056,519.44
  5. Step 5: Solve for x
    x = 308,056,519.44/21,876
  6. Step 6: Final answer
    x = 14,081.94

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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.