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Finding the Fourth Proportional to 8,287.08, 12,420.09 and 3,898.50

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Solution

The fourth proportional to 8,287.08, 12,420.09 and 3,898.50 is: 5,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.08 : 12,420.09 = 3,898.50 : x
  2. Step 2: Convert to fraction form
    8,287.08/12,420.09 = 3,898.50/x
  3. Step 3: Cross multiply
    8,287.08x = 12,420.09 × 3,898.50
  4. Step 4: Simplify right side
    8,287.08x = 48,419,720.87
  5. Step 5: Solve for x
    x = 48,419,720.87/8,287.08
  6. Step 6: Final answer
    x = 5,842.80

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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.