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Finding the Fourth Proportional to 8,157.86, 12,234.95 and 3,993.71

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Solution

The fourth proportional to 8,157.86, 12,234.95 and 3,993.71 is: 5,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.86 : 12,234.95 = 3,993.71 : x
  2. Step 2: Convert to fraction form
    8,157.86/12,234.95 = 3,993.71/x
  3. Step 3: Cross multiply
    8,157.86x = 12,234.95 × 3,993.71
  4. Step 4: Simplify right side
    8,157.86x = 48,862,776.00
  5. Step 5: Solve for x
    x = 48,862,776.00/8,157.86
  6. Step 6: Final answer
    x = 5,989.65

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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.