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Finding the Fourth Proportional to 17,947, 26,936.82 and 9,187.96

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Solution

The fourth proportional to 17,947, 26,936.82 and 9,187.96 is: 13,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,947 : 26,936.82 = 9,187.96 : x
  2. Step 2: Convert to fraction form
    17,947/26,936.82 = 9,187.96/x
  3. Step 3: Cross multiply
    17,947x = 26,936.82 × 9,187.96
  4. Step 4: Simplify right side
    17,947x = 247,494,424.69
  5. Step 5: Solve for x
    x = 247,494,424.69/17,947
  6. Step 6: Final answer
    x = 13,790.30

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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.