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Finding the Fourth Proportional to 21,914, 32,871 and 7,322

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Solution

The fourth proportional to 21,914, 32,871 and 7,322 is: 10,983

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914 : 32,871 = 7,322 : x
  2. Step 2: Convert to fraction form
    21,914/32,871 = 7,322/x
  3. Step 3: Cross multiply
    21,914x = 32,871 × 7,322
  4. Step 4: Simplify right side
    21,914x = 240,681,462
  5. Step 5: Solve for x
    x = 240,681,462/21,914
  6. Step 6: Final answer
    x = 10,983

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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.