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Finding the Fourth Proportional to 8,197.80, 12,297.90 and 2,650.08

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Solution

The fourth proportional to 8,197.80, 12,297.90 and 2,650.08 is: 3,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.80 : 12,297.90 = 2,650.08 : x
  2. Step 2: Convert to fraction form
    8,197.80/12,297.90 = 2,650.08/x
  3. Step 3: Cross multiply
    8,197.80x = 12,297.90 × 2,650.08
  4. Step 4: Simplify right side
    8,197.80x = 32,590,418.83
  5. Step 5: Solve for x
    x = 32,590,418.83/8,197.80
  6. Step 6: Final answer
    x = 3,975.51

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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.