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Finding the Fourth Proportional to 17,858.70, 26,791.44 and 7,185.90

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Solution

The fourth proportional to 17,858.70, 26,791.44 and 7,185.90 is: 10,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.70 : 26,791.44 = 7,185.90 : x
  2. Step 2: Convert to fraction form
    17,858.70/26,791.44 = 7,185.90/x
  3. Step 3: Cross multiply
    17,858.70x = 26,791.44 × 7,185.90
  4. Step 4: Simplify right side
    17,858.70x = 192,520,608.70
  5. Step 5: Solve for x
    x = 192,520,608.70/17,858.70
  6. Step 6: Final answer
    x = 10,780.21

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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.