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Finding the Fourth Proportional to 8,160.86, 12,232.88 and 3,228.50

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Solution

The fourth proportional to 8,160.86, 12,232.88 and 3,228.50 is: 4,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.86 : 12,232.88 = 3,228.50 : x
  2. Step 2: Convert to fraction form
    8,160.86/12,232.88 = 3,228.50/x
  3. Step 3: Cross multiply
    8,160.86x = 12,232.88 × 3,228.50
  4. Step 4: Simplify right side
    8,160.86x = 39,493,853.08
  5. Step 5: Solve for x
    x = 39,493,853.08/8,160.86
  6. Step 6: Final answer
    x = 4,839.42

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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.