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Finding the Fourth Proportional to 12,469.76, 18,706.08 and 3,236.48

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Solution

The fourth proportional to 12,469.76, 18,706.08 and 3,236.48 is: 4,855.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.76 : 18,706.08 = 3,236.48 : x
  2. Step 2: Convert to fraction form
    12,469.76/18,706.08 = 3,236.48/x
  3. Step 3: Cross multiply
    12,469.76x = 18,706.08 × 3,236.48
  4. Step 4: Simplify right side
    12,469.76x = 60,541,853.80
  5. Step 5: Solve for x
    x = 60,541,853.80/12,469.76
  6. Step 6: Final answer
    x = 4,855.09

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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.