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Finding the Fourth Proportional to 21,908.97, 32,865.12 and 6,327.81

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Solution

The fourth proportional to 21,908.97, 32,865.12 and 6,327.81 is: 9,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,908.97 : 32,865.12 = 6,327.81 : x
  2. Step 2: Convert to fraction form
    21,908.97/32,865.12 = 6,327.81/x
  3. Step 3: Cross multiply
    21,908.97x = 32,865.12 × 6,327.81
  4. Step 4: Simplify right side
    21,908.97x = 207,964,234.99
  5. Step 5: Solve for x
    x = 207,964,234.99/21,908.97
  6. Step 6: Final answer
    x = 9,492.20

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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.