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Finding the Fourth Proportional to 16,229, 22,396.06 and 8,777

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Solution

The fourth proportional to 16,229, 22,396.06 and 8,777 is: 12,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229 : 22,396.06 = 8,777 : x
  2. Step 2: Convert to fraction form
    16,229/22,396.06 = 8,777/x
  3. Step 3: Cross multiply
    16,229x = 22,396.06 × 8,777
  4. Step 4: Simplify right side
    16,229x = 196,570,218.62
  5. Step 5: Solve for x
    x = 196,570,218.62/16,229
  6. Step 6: Final answer
    x = 12,112.28

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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.