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Finding the Fourth Proportional to 3,762.25, 5,639.22 and 2,834.80

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Solution

The fourth proportional to 3,762.25, 5,639.22 and 2,834.80 is: 4,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.25 : 5,639.22 = 2,834.80 : x
  2. Step 2: Convert to fraction form
    3,762.25/5,639.22 = 2,834.80/x
  3. Step 3: Cross multiply
    3,762.25x = 5,639.22 × 2,834.80
  4. Step 4: Simplify right side
    3,762.25x = 15,986,046.76
  5. Step 5: Solve for x
    x = 15,986,046.76/3,762.25
  6. Step 6: Final answer
    x = 4,249.07

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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.