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Finding the Fourth Proportional to 8,137.68, 12,211.52 and 3,755.46

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Solution

The fourth proportional to 8,137.68, 12,211.52 and 3,755.46 is: 5,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.68 : 12,211.52 = 3,755.46 : x
  2. Step 2: Convert to fraction form
    8,137.68/12,211.52 = 3,755.46/x
  3. Step 3: Cross multiply
    8,137.68x = 12,211.52 × 3,755.46
  4. Step 4: Simplify right side
    8,137.68x = 45,859,795.06
  5. Step 5: Solve for x
    x = 45,859,795.06/8,137.68
  6. Step 6: Final answer
    x = 5,635.49

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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.