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Finding the Fourth Proportional to 8,491.82, 12,739.54 and 3,297.68

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Solution

The fourth proportional to 8,491.82, 12,739.54 and 3,297.68 is: 4,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.82 : 12,739.54 = 3,297.68 : x
  2. Step 2: Convert to fraction form
    8,491.82/12,739.54 = 3,297.68/x
  3. Step 3: Cross multiply
    8,491.82x = 12,739.54 × 3,297.68
  4. Step 4: Simplify right side
    8,491.82x = 42,010,926.27
  5. Step 5: Solve for x
    x = 42,010,926.27/8,491.82
  6. Step 6: Final answer
    x = 4,947.22

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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.