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Finding the Fourth Proportional to 21,838, 32,757.04 and 5,422

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Solution

The fourth proportional to 21,838, 32,757.04 and 5,422 is: 8,133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838 : 32,757.04 = 5,422 : x
  2. Step 2: Convert to fraction form
    21,838/32,757.04 = 5,422/x
  3. Step 3: Cross multiply
    21,838x = 32,757.04 × 5,422
  4. Step 4: Simplify right side
    21,838x = 177,608,670.88
  5. Step 5: Solve for x
    x = 177,608,670.88/21,838
  6. Step 6: Final answer
    x = 8,133.01

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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.