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Finding the Fourth Proportional to 7,859.95, 11,790.69 and 2,863.68

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Solution

The fourth proportional to 7,859.95, 11,790.69 and 2,863.68 is: 4,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.95 : 11,790.69 = 2,863.68 : x
  2. Step 2: Convert to fraction form
    7,859.95/11,790.69 = 2,863.68/x
  3. Step 3: Cross multiply
    7,859.95x = 11,790.69 × 2,863.68
  4. Step 4: Simplify right side
    7,859.95x = 33,764,763.14
  5. Step 5: Solve for x
    x = 33,764,763.14/7,859.95
  6. Step 6: Final answer
    x = 4,295.80

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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.