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Finding the Fourth Proportional to 16,221, 24,331.53 and 3,909

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Solution

The fourth proportional to 16,221, 24,331.53 and 3,909 is: 5,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221 : 24,331.53 = 3,909 : x
  2. Step 2: Convert to fraction form
    16,221/24,331.53 = 3,909/x
  3. Step 3: Cross multiply
    16,221x = 24,331.53 × 3,909
  4. Step 4: Simplify right side
    16,221x = 95,111,950.77
  5. Step 5: Solve for x
    x = 95,111,950.77/16,221
  6. Step 6: Final answer
    x = 5,863.51

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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.