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Finding the Fourth Proportional to 3,766.91, 5,643.54 and 1,571.81

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Solution

The fourth proportional to 3,766.91, 5,643.54 and 1,571.81 is: 2,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.91 : 5,643.54 = 1,571.81 : x
  2. Step 2: Convert to fraction form
    3,766.91/5,643.54 = 1,571.81/x
  3. Step 3: Cross multiply
    3,766.91x = 5,643.54 × 1,571.81
  4. Step 4: Simplify right side
    3,766.91x = 8,870,544.39
  5. Step 5: Solve for x
    x = 8,870,544.39/3,766.91
  6. Step 6: Final answer
    x = 2,354.86

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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.