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Finding the Fourth Proportional to 8,491.74, 12,738.93 and 3,228.96

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Solution

The fourth proportional to 8,491.74, 12,738.93 and 3,228.96 is: 4,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.74 : 12,738.93 = 3,228.96 : x
  2. Step 2: Convert to fraction form
    8,491.74/12,738.93 = 3,228.96/x
  3. Step 3: Cross multiply
    8,491.74x = 12,738.93 × 3,228.96
  4. Step 4: Simplify right side
    8,491.74x = 41,133,495.41
  5. Step 5: Solve for x
    x = 41,133,495.41/8,491.74
  6. Step 6: Final answer
    x = 4,843.94

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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.