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Finding the Fourth Proportional to 2,739.70, 3,771.26 and 2,389.78

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Solution

The fourth proportional to 2,739.70, 3,771.26 and 2,389.78 is: 3,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.70 : 3,771.26 = 2,389.78 : x
  2. Step 2: Convert to fraction form
    2,739.70/3,771.26 = 2,389.78/x
  3. Step 3: Cross multiply
    2,739.70x = 3,771.26 × 2,389.78
  4. Step 4: Simplify right side
    2,739.70x = 9,012,481.72
  5. Step 5: Solve for x
    x = 9,012,481.72/2,739.70
  6. Step 6: Final answer
    x = 3,289.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.