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Finding the Fourth Proportional to 3,850.68, 5,776.74 and 1,252.92

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Solution

The fourth proportional to 3,850.68, 5,776.74 and 1,252.92 is: 1,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.68 : 5,776.74 = 1,252.92 : x
  2. Step 2: Convert to fraction form
    3,850.68/5,776.74 = 1,252.92/x
  3. Step 3: Cross multiply
    3,850.68x = 5,776.74 × 1,252.92
  4. Step 4: Simplify right side
    3,850.68x = 7,237,793.08
  5. Step 5: Solve for x
    x = 7,237,793.08/3,850.68
  6. Step 6: Final answer
    x = 1,879.61

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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.