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Finding the Fourth Proportional to 16,271, 22,453.98 and 8,819

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Solution

The fourth proportional to 16,271, 22,453.98 and 8,819 is: 12,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271 : 22,453.98 = 8,819 : x
  2. Step 2: Convert to fraction form
    16,271/22,453.98 = 8,819/x
  3. Step 3: Cross multiply
    16,271x = 22,453.98 × 8,819
  4. Step 4: Simplify right side
    16,271x = 198,021,649.62
  5. Step 5: Solve for x
    x = 198,021,649.62/16,271
  6. Step 6: Final answer
    x = 12,170.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.