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Finding the Fourth Proportional to 2,739.54, 4,109.31 and 1,279.74

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Solution

The fourth proportional to 2,739.54, 4,109.31 and 1,279.74 is: 1,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.54 : 4,109.31 = 1,279.74 : x
  2. Step 2: Convert to fraction form
    2,739.54/4,109.31 = 1,279.74/x
  3. Step 3: Cross multiply
    2,739.54x = 4,109.31 × 1,279.74
  4. Step 4: Simplify right side
    2,739.54x = 5,258,848.38
  5. Step 5: Solve for x
    x = 5,258,848.38/2,739.54
  6. Step 6: Final answer
    x = 1,919.61

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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.