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Finding the Fourth Proportional to 2,224.74, 3,336.39 and 743.64

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Solution

The fourth proportional to 2,224.74, 3,336.39 and 743.64 is: 1,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.74 : 3,336.39 = 743.64 : x
  2. Step 2: Convert to fraction form
    2,224.74/3,336.39 = 743.64/x
  3. Step 3: Cross multiply
    2,224.74x = 3,336.39 × 743.64
  4. Step 4: Simplify right side
    2,224.74x = 2,481,073.06
  5. Step 5: Solve for x
    x = 2,481,073.06/2,224.74
  6. Step 6: Final answer
    x = 1,115.22

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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.