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Finding the Fourth Proportional to 8,176, 12,268.06 and 3,245.52

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Solution

The fourth proportional to 8,176, 12,268.06 and 3,245.52 is: 4,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176 : 12,268.06 = 3,245.52 : x
  2. Step 2: Convert to fraction form
    8,176/12,268.06 = 3,245.52/x
  3. Step 3: Cross multiply
    8,176x = 12,268.06 × 3,245.52
  4. Step 4: Simplify right side
    8,176x = 39,816,234.09
  5. Step 5: Solve for x
    x = 39,816,234.09/8,176
  6. Step 6: Final answer
    x = 4,869.89

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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.