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Finding the Fourth Proportional to 8,578.94, 12,858.84 and 3,891.92

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Solution

The fourth proportional to 8,578.94, 12,858.84 and 3,891.92 is: 5,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.94 : 12,858.84 = 3,891.92 : x
  2. Step 2: Convert to fraction form
    8,578.94/12,858.84 = 3,891.92/x
  3. Step 3: Cross multiply
    8,578.94x = 12,858.84 × 3,891.92
  4. Step 4: Simplify right side
    8,578.94x = 50,045,512.28
  5. Step 5: Solve for x
    x = 50,045,512.28/8,578.94
  6. Step 6: Final answer
    x = 5,833.53

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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.