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Finding the Fourth Proportional to 7,812.87, 11,717.36 and 2,879.83

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Solution

The fourth proportional to 7,812.87, 11,717.36 and 2,879.83 is: 4,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.87 : 11,717.36 = 2,879.83 : x
  2. Step 2: Convert to fraction form
    7,812.87/11,717.36 = 2,879.83/x
  3. Step 3: Cross multiply
    7,812.87x = 11,717.36 × 2,879.83
  4. Step 4: Simplify right side
    7,812.87x = 33,744,004.85
  5. Step 5: Solve for x
    x = 33,744,004.85/7,812.87
  6. Step 6: Final answer
    x = 4,319.03

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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.