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Finding the Fourth Proportional to 2,091.26, 3,137.79 and 793.10

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Solution

The fourth proportional to 2,091.26, 3,137.79 and 793.10 is: 1,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.26 : 3,137.79 = 793.10 : x
  2. Step 2: Convert to fraction form
    2,091.26/3,137.79 = 793.10/x
  3. Step 3: Cross multiply
    2,091.26x = 3,137.79 × 793.10
  4. Step 4: Simplify right side
    2,091.26x = 2,488,581.25
  5. Step 5: Solve for x
    x = 2,488,581.25/2,091.26
  6. Step 6: Final answer
    x = 1,189.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.