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Finding the Fourth Proportional to 16,909, 25,363.58 and 5,965

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Solution

The fourth proportional to 16,909, 25,363.58 and 5,965 is: 8,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,909 : 25,363.58 = 5,965 : x
  2. Step 2: Convert to fraction form
    16,909/25,363.58 = 5,965/x
  3. Step 3: Cross multiply
    16,909x = 25,363.58 × 5,965
  4. Step 4: Simplify right side
    16,909x = 151,293,754.70
  5. Step 5: Solve for x
    x = 151,293,754.70/16,909
  6. Step 6: Final answer
    x = 8,947.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.