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Finding the Fourth Proportional to 8,191.99, 12,278.94 and 4,243.55

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Solution

The fourth proportional to 8,191.99, 12,278.94 and 4,243.55 is: 6,360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.99 : 12,278.94 = 4,243.55 : x
  2. Step 2: Convert to fraction form
    8,191.99/12,278.94 = 4,243.55/x
  3. Step 3: Cross multiply
    8,191.99x = 12,278.94 × 4,243.55
  4. Step 4: Simplify right side
    8,191.99x = 52,106,234.44
  5. Step 5: Solve for x
    x = 52,106,234.44/8,191.99
  6. Step 6: Final answer
    x = 6,360.63

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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.