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Finding the Fourth Proportional to 2,736.99, 4,106.16 and 789.19

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Solution

The fourth proportional to 2,736.99, 4,106.16 and 789.19 is: 1,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.99 : 4,106.16 = 789.19 : x
  2. Step 2: Convert to fraction form
    2,736.99/4,106.16 = 789.19/x
  3. Step 3: Cross multiply
    2,736.99x = 4,106.16 × 789.19
  4. Step 4: Simplify right side
    2,736.99x = 3,240,530.15
  5. Step 5: Solve for x
    x = 3,240,530.15/2,736.99
  6. Step 6: Final answer
    x = 1,183.98

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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.