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Finding the Fourth Proportional to 2,571.85, 3,857.46 and 905.68

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Solution

The fourth proportional to 2,571.85, 3,857.46 and 905.68 is: 1,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.85 : 3,857.46 = 905.68 : x
  2. Step 2: Convert to fraction form
    2,571.85/3,857.46 = 905.68/x
  3. Step 3: Cross multiply
    2,571.85x = 3,857.46 × 905.68
  4. Step 4: Simplify right side
    2,571.85x = 3,493,625.80
  5. Step 5: Solve for x
    x = 3,493,625.80/2,571.85
  6. Step 6: Final answer
    x = 1,358.41

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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.