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Finding the Fourth Proportional to 8,493.08, 12,729.84 and 3,294.56

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Solution

The fourth proportional to 8,493.08, 12,729.84 and 3,294.56 is: 4,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.08 : 12,729.84 = 3,294.56 : x
  2. Step 2: Convert to fraction form
    8,493.08/12,729.84 = 3,294.56/x
  3. Step 3: Cross multiply
    8,493.08x = 12,729.84 × 3,294.56
  4. Step 4: Simplify right side
    8,493.08x = 41,939,221.67
  5. Step 5: Solve for x
    x = 41,939,221.67/8,493.08
  6. Step 6: Final answer
    x = 4,938.05

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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.