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Finding the Fourth Proportional to 8,734.56, 13,101.72 and 2,578.56

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Solution

The fourth proportional to 8,734.56, 13,101.72 and 2,578.56 is: 3,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.56 : 13,101.72 = 2,578.56 : x
  2. Step 2: Convert to fraction form
    8,734.56/13,101.72 = 2,578.56/x
  3. Step 3: Cross multiply
    8,734.56x = 13,101.72 × 2,578.56
  4. Step 4: Simplify right side
    8,734.56x = 33,783,571.12
  5. Step 5: Solve for x
    x = 33,783,571.12/8,734.56
  6. Step 6: Final answer
    x = 3,867.80

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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.