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Finding the Fourth Proportional to 3,843.72, 5,734.58 and 3,428.19

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Solution

The fourth proportional to 3,843.72, 5,734.58 and 3,428.19 is: 5,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.72 : 5,734.58 = 3,428.19 : x
  2. Step 2: Convert to fraction form
    3,843.72/5,734.58 = 3,428.19/x
  3. Step 3: Cross multiply
    3,843.72x = 5,734.58 × 3,428.19
  4. Step 4: Simplify right side
    3,843.72x = 19,659,212.67
  5. Step 5: Solve for x
    x = 19,659,212.67/3,843.72
  6. Step 6: Final answer
    x = 5,114.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.