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Finding the Fourth Proportional to 8,216.65, 12,330.92 and 3,287.66

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Solution

The fourth proportional to 8,216.65, 12,330.92 and 3,287.66 is: 4,933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.65 : 12,330.92 = 3,287.66 : x
  2. Step 2: Convert to fraction form
    8,216.65/12,330.92 = 3,287.66/x
  3. Step 3: Cross multiply
    8,216.65x = 12,330.92 × 3,287.66
  4. Step 4: Simplify right side
    8,216.65x = 40,539,886.84
  5. Step 5: Solve for x
    x = 40,539,886.84/8,216.65
  6. Step 6: Final answer
    x = 4,933.87

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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.