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Finding the Fourth Proportional to 3,781.92, 5,674.70 and 2,850.93

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Solution

The fourth proportional to 3,781.92, 5,674.70 and 2,850.93 is: 4,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.92 : 5,674.70 = 2,850.93 : x
  2. Step 2: Convert to fraction form
    3,781.92/5,674.70 = 2,850.93/x
  3. Step 3: Cross multiply
    3,781.92x = 5,674.70 × 2,850.93
  4. Step 4: Simplify right side
    3,781.92x = 16,178,144.10
  5. Step 5: Solve for x
    x = 16,178,144.10/3,781.92
  6. Step 6: Final answer
    x = 4,277.76

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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.