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Finding the Fourth Proportional to 8,149.50, 12,224.34 and 1,993.50

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Solution

The fourth proportional to 8,149.50, 12,224.34 and 1,993.50 is: 2,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.50 : 12,224.34 = 1,993.50 : x
  2. Step 2: Convert to fraction form
    8,149.50/12,224.34 = 1,993.50/x
  3. Step 3: Cross multiply
    8,149.50x = 12,224.34 × 1,993.50
  4. Step 4: Simplify right side
    8,149.50x = 24,369,221.79
  5. Step 5: Solve for x
    x = 24,369,221.79/8,149.50
  6. Step 6: Final answer
    x = 2,990.27

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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.