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Finding the Fourth Proportional to 7,856.07, 11,786.22 and 2,661.93

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Solution

The fourth proportional to 7,856.07, 11,786.22 and 2,661.93 is: 3,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.07 : 11,786.22 = 2,661.93 : x
  2. Step 2: Convert to fraction form
    7,856.07/11,786.22 = 2,661.93/x
  3. Step 3: Cross multiply
    7,856.07x = 11,786.22 × 2,661.93
  4. Step 4: Simplify right side
    7,856.07x = 31,374,092.60
  5. Step 5: Solve for x
    x = 31,374,092.60/7,856.07
  6. Step 6: Final answer
    x = 3,993.61

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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.