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Finding the Fourth Proportional to 21,422, 32,133 and 9,110

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Solution

The fourth proportional to 21,422, 32,133 and 9,110 is: 13,665

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422 : 32,133 = 9,110 : x
  2. Step 2: Convert to fraction form
    21,422/32,133 = 9,110/x
  3. Step 3: Cross multiply
    21,422x = 32,133 × 9,110
  4. Step 4: Simplify right side
    21,422x = 292,731,630
  5. Step 5: Solve for x
    x = 292,731,630/21,422
  6. Step 6: Final answer
    x = 13,665

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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.