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Finding the Fourth Proportional to 16,427, 22,669.26 and 8,975

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Solution

The fourth proportional to 16,427, 22,669.26 and 8,975 is: 12,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427 : 22,669.26 = 8,975 : x
  2. Step 2: Convert to fraction form
    16,427/22,669.26 = 8,975/x
  3. Step 3: Cross multiply
    16,427x = 22,669.26 × 8,975
  4. Step 4: Simplify right side
    16,427x = 203,456,608.50
  5. Step 5: Solve for x
    x = 203,456,608.50/16,427
  6. Step 6: Final answer
    x = 12,385.50

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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.