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Finding the Fourth Proportional to 8,149.50, 11,245.77 and 4,791.78

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Solution

The fourth proportional to 8,149.50, 11,245.77 and 4,791.78 is: 6,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.50 : 11,245.77 = 4,791.78 : x
  2. Step 2: Convert to fraction form
    8,149.50/11,245.77 = 4,791.78/x
  3. Step 3: Cross multiply
    8,149.50x = 11,245.77 × 4,791.78
  4. Step 4: Simplify right side
    8,149.50x = 53,887,255.77
  5. Step 5: Solve for x
    x = 53,887,255.77/8,149.50
  6. Step 6: Final answer
    x = 6,612.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.