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Finding the Fourth Proportional to 8,140.86, 12,211.29 and 3,755.92

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Solution

The fourth proportional to 8,140.86, 12,211.29 and 3,755.92 is: 5,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.86 : 12,211.29 = 3,755.92 : x
  2. Step 2: Convert to fraction form
    8,140.86/12,211.29 = 3,755.92/x
  3. Step 3: Cross multiply
    8,140.86x = 12,211.29 × 3,755.92
  4. Step 4: Simplify right side
    8,140.86x = 45,864,628.34
  5. Step 5: Solve for x
    x = 45,864,628.34/8,140.86
  6. Step 6: Final answer
    x = 5,633.88

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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.