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Finding the Fourth Proportional to 8,199.65, 12,289.91 and 3,270.71

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Solution

The fourth proportional to 8,199.65, 12,289.91 and 3,270.71 is: 4,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.65 : 12,289.91 = 3,270.71 : x
  2. Step 2: Convert to fraction form
    8,199.65/12,289.91 = 3,270.71/x
  3. Step 3: Cross multiply
    8,199.65x = 12,289.91 × 3,270.71
  4. Step 4: Simplify right side
    8,199.65x = 40,196,745.91
  5. Step 5: Solve for x
    x = 40,196,745.91/8,199.65
  6. Step 6: Final answer
    x = 4,902.25

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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.