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Finding the Fourth Proportional to 21,679.92, 32,493.20 and 12,327.75

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Solution

The fourth proportional to 21,679.92, 32,493.20 and 12,327.75 is: 18,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,679.92 : 32,493.20 = 12,327.75 : x
  2. Step 2: Convert to fraction form
    21,679.92/32,493.20 = 12,327.75/x
  3. Step 3: Cross multiply
    21,679.92x = 32,493.20 × 12,327.75
  4. Step 4: Simplify right side
    21,679.92x = 400,567,984.66
  5. Step 5: Solve for x
    x = 400,567,984.66/21,679.92
  6. Step 6: Final answer
    x = 18,476.45

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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.