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Finding the Fourth Proportional to 3,716.75, 5,571.81 and 1,409.87

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Solution

The fourth proportional to 3,716.75, 5,571.81 and 1,409.87 is: 2,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.75 : 5,571.81 = 1,409.87 : x
  2. Step 2: Convert to fraction form
    3,716.75/5,571.81 = 1,409.87/x
  3. Step 3: Cross multiply
    3,716.75x = 5,571.81 × 1,409.87
  4. Step 4: Simplify right side
    3,716.75x = 7,855,499.91
  5. Step 5: Solve for x
    x = 7,855,499.91/3,716.75
  6. Step 6: Final answer
    x = 2,113.54

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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.