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Finding the Fourth Proportional to 7,859.96, 11,793.78 and 3,755

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Solution

The fourth proportional to 7,859.96, 11,793.78 and 3,755 is: 5,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.96 : 11,793.78 = 3,755 : x
  2. Step 2: Convert to fraction form
    7,859.96/11,793.78 = 3,755/x
  3. Step 3: Cross multiply
    7,859.96x = 11,793.78 × 3,755
  4. Step 4: Simplify right side
    7,859.96x = 44,285,643.90
  5. Step 5: Solve for x
    x = 44,285,643.90/7,859.96
  6. Step 6: Final answer
    x = 5,634.33

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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.