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Finding the Fourth Proportional to 8,493.68, 12,731.40 and 3,226.65

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Solution

The fourth proportional to 8,493.68, 12,731.40 and 3,226.65 is: 4,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.68 : 12,731.40 = 3,226.65 : x
  2. Step 2: Convert to fraction form
    8,493.68/12,731.40 = 3,226.65/x
  3. Step 3: Cross multiply
    8,493.68x = 12,731.40 × 3,226.65
  4. Step 4: Simplify right side
    8,493.68x = 41,079,771.81
  5. Step 5: Solve for x
    x = 41,079,771.81/8,493.68
  6. Step 6: Final answer
    x = 4,836.51

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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.