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Finding the Fourth Proportional to 2,109.64, 3,164.79 and 793.49

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Solution

The fourth proportional to 2,109.64, 3,164.79 and 793.49 is: 1,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.64 : 3,164.79 = 793.49 : x
  2. Step 2: Convert to fraction form
    2,109.64/3,164.79 = 793.49/x
  3. Step 3: Cross multiply
    2,109.64x = 3,164.79 × 793.49
  4. Step 4: Simplify right side
    2,109.64x = 2,511,229.22
  5. Step 5: Solve for x
    x = 2,511,229.22/2,109.64
  6. Step 6: Final answer
    x = 1,190.36

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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.