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Finding the Fourth Proportional to 21,750, 32,625 and 9,438

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Solution

The fourth proportional to 21,750, 32,625 and 9,438 is: 14,157

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,750 : 32,625 = 9,438 : x
  2. Step 2: Convert to fraction form
    21,750/32,625 = 9,438/x
  3. Step 3: Cross multiply
    21,750x = 32,625 × 9,438
  4. Step 4: Simplify right side
    21,750x = 307,914,750
  5. Step 5: Solve for x
    x = 307,914,750/21,750
  6. Step 6: Final answer
    x = 14,157

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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.