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Finding the Fourth Proportional to 8,197.57, 12,295.84 and 2,650.45

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Solution

The fourth proportional to 8,197.57, 12,295.84 and 2,650.45 is: 3,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.57 : 12,295.84 = 2,650.45 : x
  2. Step 2: Convert to fraction form
    8,197.57/12,295.84 = 2,650.45/x
  3. Step 3: Cross multiply
    8,197.57x = 12,295.84 × 2,650.45
  4. Step 4: Simplify right side
    8,197.57x = 32,589,461.48
  5. Step 5: Solve for x
    x = 32,589,461.48/8,197.57
  6. Step 6: Final answer
    x = 3,975.50

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1.5x scale

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.