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Finding the Fourth Proportional to 7,811.43, 11,717.14 and 3,914.92

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Solution

The fourth proportional to 7,811.43, 11,717.14 and 3,914.92 is: 5,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.43 : 11,717.14 = 3,914.92 : x
  2. Step 2: Convert to fraction form
    7,811.43/11,717.14 = 3,914.92/x
  3. Step 3: Cross multiply
    7,811.43x = 11,717.14 × 3,914.92
  4. Step 4: Simplify right side
    7,811.43x = 45,871,665.73
  5. Step 5: Solve for x
    x = 45,871,665.73/7,811.43
  6. Step 6: Final answer
    x = 5,872.38

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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.