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Finding the Fourth Proportional to 3,406.44, 5,109.84 and 941.21

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Solution

The fourth proportional to 3,406.44, 5,109.84 and 941.21 is: 1,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.44 : 5,109.84 = 941.21 : x
  2. Step 2: Convert to fraction form
    3,406.44/5,109.84 = 941.21/x
  3. Step 3: Cross multiply
    3,406.44x = 5,109.84 × 941.21
  4. Step 4: Simplify right side
    3,406.44x = 4,809,432.51
  5. Step 5: Solve for x
    x = 4,809,432.51/3,406.44
  6. Step 6: Final answer
    x = 1,411.86

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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.