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Finding the Fourth Proportional to 3,825.81, 5,739.39 and 1,327.32

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Solution

The fourth proportional to 3,825.81, 5,739.39 and 1,327.32 is: 1,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.81 : 5,739.39 = 1,327.32 : x
  2. Step 2: Convert to fraction form
    3,825.81/5,739.39 = 1,327.32/x
  3. Step 3: Cross multiply
    3,825.81x = 5,739.39 × 1,327.32
  4. Step 4: Simplify right side
    3,825.81x = 7,618,007.13
  5. Step 5: Solve for x
    x = 7,618,007.13/3,825.81
  6. Step 6: Final answer
    x = 1,991.21

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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.