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Finding the Fourth Proportional to 16,072.59, 22,180 and 8,999.09

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Solution

The fourth proportional to 16,072.59, 22,180 and 8,999.09 is: 12,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072.59 : 22,180 = 8,999.09 : x
  2. Step 2: Convert to fraction form
    16,072.59/22,180 = 8,999.09/x
  3. Step 3: Cross multiply
    16,072.59x = 22,180 × 8,999.09
  4. Step 4: Simplify right side
    16,072.59x = 199,599,816.20
  5. Step 5: Solve for x
    x = 199,599,816.20/16,072.59
  6. Step 6: Final answer
    x = 12,418.65

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1.5x scale

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.