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Finding the Fourth Proportional to 3,778.94, 5,668.36 and 2,739.44

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Solution

The fourth proportional to 3,778.94, 5,668.36 and 2,739.44 is: 4,109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.94 : 5,668.36 = 2,739.44 : x
  2. Step 2: Convert to fraction form
    3,778.94/5,668.36 = 2,739.44/x
  3. Step 3: Cross multiply
    3,778.94x = 5,668.36 × 2,739.44
  4. Step 4: Simplify right side
    3,778.94x = 15,528,132.12
  5. Step 5: Solve for x
    x = 15,528,132.12/3,778.94
  6. Step 6: Final answer
    x = 4,109.12

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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.