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Finding the Fourth Proportional to 7,963.80, 11,951.10 and 5,183.70

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Solution

The fourth proportional to 7,963.80, 11,951.10 and 5,183.70 is: 7,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.80 : 11,951.10 = 5,183.70 : x
  2. Step 2: Convert to fraction form
    7,963.80/11,951.10 = 5,183.70/x
  3. Step 3: Cross multiply
    7,963.80x = 11,951.10 × 5,183.70
  4. Step 4: Simplify right side
    7,963.80x = 61,950,917.07
  5. Step 5: Solve for x
    x = 61,950,917.07/7,963.80
  6. Step 6: Final answer
    x = 7,779.06

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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.