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Finding the Fourth Proportional to 3,919.64, 5,409.57 and 2,241.29

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Solution

The fourth proportional to 3,919.64, 5,409.57 and 2,241.29 is: 3,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.64 : 5,409.57 = 2,241.29 : x
  2. Step 2: Convert to fraction form
    3,919.64/5,409.57 = 2,241.29/x
  3. Step 3: Cross multiply
    3,919.64x = 5,409.57 × 2,241.29
  4. Step 4: Simplify right side
    3,919.64x = 12,124,415.15
  5. Step 5: Solve for x
    x = 12,124,415.15/3,919.64
  6. Step 6: Final answer
    x = 3,093.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.