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Finding the Fourth Proportional to 21,882, 32,835.96 and 9,401.68

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Solution

The fourth proportional to 21,882, 32,835.96 and 9,401.68 is: 14,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882 : 32,835.96 = 9,401.68 : x
  2. Step 2: Convert to fraction form
    21,882/32,835.96 = 9,401.68/x
  3. Step 3: Cross multiply
    21,882x = 32,835.96 × 9,401.68
  4. Step 4: Simplify right side
    21,882x = 308,713,188.41
  5. Step 5: Solve for x
    x = 308,713,188.41/21,882
  6. Step 6: Final answer
    x = 14,108.09

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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.