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Finding the Fourth Proportional to 16,288, 22,477.56 and 8,836

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Solution

The fourth proportional to 16,288, 22,477.56 and 8,836 is: 12,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288 : 22,477.56 = 8,836 : x
  2. Step 2: Convert to fraction form
    16,288/22,477.56 = 8,836/x
  3. Step 3: Cross multiply
    16,288x = 22,477.56 × 8,836
  4. Step 4: Simplify right side
    16,288x = 198,611,720.16
  5. Step 5: Solve for x
    x = 198,611,720.16/16,288
  6. Step 6: Final answer
    x = 12,193.75

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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.