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Finding the Fourth Proportional to 7,942.70, 11,910.45 and 3,010.70

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Solution

The fourth proportional to 7,942.70, 11,910.45 and 3,010.70 is: 4,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.70 : 11,910.45 = 3,010.70 : x
  2. Step 2: Convert to fraction form
    7,942.70/11,910.45 = 3,010.70/x
  3. Step 3: Cross multiply
    7,942.70x = 11,910.45 × 3,010.70
  4. Step 4: Simplify right side
    7,942.70x = 35,858,791.82
  5. Step 5: Solve for x
    x = 35,858,791.82/7,942.70
  6. Step 6: Final answer
    x = 4,514.69

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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.