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Finding the Fourth Proportional to 13,647.68, 20,472.98 and 3,786.99

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Solution

The fourth proportional to 13,647.68, 20,472.98 and 3,786.99 is: 5,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.68 : 20,472.98 = 3,786.99 : x
  2. Step 2: Convert to fraction form
    13,647.68/20,472.98 = 3,786.99/x
  3. Step 3: Cross multiply
    13,647.68x = 20,472.98 × 3,786.99
  4. Step 4: Simplify right side
    13,647.68x = 77,530,951.60
  5. Step 5: Solve for x
    x = 77,530,951.60/13,647.68
  6. Step 6: Final answer
    x = 5,680.89

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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.