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Finding the Fourth Proportional to 7,843.72, 11,768.28 and 3,944.92

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Solution

The fourth proportional to 7,843.72, 11,768.28 and 3,944.92 is: 5,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.72 : 11,768.28 = 3,944.92 : x
  2. Step 2: Convert to fraction form
    7,843.72/11,768.28 = 3,944.92/x
  3. Step 3: Cross multiply
    7,843.72x = 11,768.28 × 3,944.92
  4. Step 4: Simplify right side
    7,843.72x = 46,424,923.14
  5. Step 5: Solve for x
    x = 46,424,923.14/7,843.72
  6. Step 6: Final answer
    x = 5,918.74

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1.5x scale

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.