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Finding the Fourth Proportional to 8,571.30, 12,856.80 and 2,727.84

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Solution

The fourth proportional to 8,571.30, 12,856.80 and 2,727.84 is: 4,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.30 : 12,856.80 = 2,727.84 : x
  2. Step 2: Convert to fraction form
    8,571.30/12,856.80 = 2,727.84/x
  3. Step 3: Cross multiply
    8,571.30x = 12,856.80 × 2,727.84
  4. Step 4: Simplify right side
    8,571.30x = 35,071,293.31
  5. Step 5: Solve for x
    x = 35,071,293.31/8,571.30
  6. Step 6: Final answer
    x = 4,091.71

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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.