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Finding the Fourth Proportional to 7,859.72, 11,793.09 and 3,914.91

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Solution

The fourth proportional to 7,859.72, 11,793.09 and 3,914.91 is: 5,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.72 : 11,793.09 = 3,914.91 : x
  2. Step 2: Convert to fraction form
    7,859.72/11,793.09 = 3,914.91/x
  3. Step 3: Cross multiply
    7,859.72x = 11,793.09 × 3,914.91
  4. Step 4: Simplify right side
    7,859.72x = 46,168,885.97
  5. Step 5: Solve for x
    x = 46,168,885.97/7,859.72
  6. Step 6: Final answer
    x = 5,874.12

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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.