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Finding the Fourth Proportional to 3,755.79, 5,635.49 and 1,446.75

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Solution

The fourth proportional to 3,755.79, 5,635.49 and 1,446.75 is: 2,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.79 : 5,635.49 = 1,446.75 : x
  2. Step 2: Convert to fraction form
    3,755.79/5,635.49 = 1,446.75/x
  3. Step 3: Cross multiply
    3,755.79x = 5,635.49 × 1,446.75
  4. Step 4: Simplify right side
    3,755.79x = 8,153,137.92
  5. Step 5: Solve for x
    x = 8,153,137.92/3,755.79
  6. Step 6: Final answer
    x = 2,170.82

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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.