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Finding the Fourth Proportional to 8,300.27, 12,450.38 and 3,855.50

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Solution

The fourth proportional to 8,300.27, 12,450.38 and 3,855.50 is: 5,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.27 : 12,450.38 = 3,855.50 : x
  2. Step 2: Convert to fraction form
    8,300.27/12,450.38 = 3,855.50/x
  3. Step 3: Cross multiply
    8,300.27x = 12,450.38 × 3,855.50
  4. Step 4: Simplify right side
    8,300.27x = 48,002,358.56
  5. Step 5: Solve for x
    x = 48,002,358.56/8,300.27
  6. Step 6: Final answer
    x = 5,783.23

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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.