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Finding the Fourth Proportional to 8,122.42, 12,190.74 and 3,965.50

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Solution

The fourth proportional to 8,122.42, 12,190.74 and 3,965.50 is: 5,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.42 : 12,190.74 = 3,965.50 : x
  2. Step 2: Convert to fraction form
    8,122.42/12,190.74 = 3,965.50/x
  3. Step 3: Cross multiply
    8,122.42x = 12,190.74 × 3,965.50
  4. Step 4: Simplify right side
    8,122.42x = 48,342,379.47
  5. Step 5: Solve for x
    x = 48,342,379.47/8,122.42
  6. Step 6: Final answer
    x = 5,951.72

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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.