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Finding the Fourth Proportional to 2,739, 4,110.74 and 1,918.92

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Solution

The fourth proportional to 2,739, 4,110.74 and 1,918.92 is: 2,879.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739 : 4,110.74 = 1,918.92 : x
  2. Step 2: Convert to fraction form
    2,739/4,110.74 = 1,918.92/x
  3. Step 3: Cross multiply
    2,739x = 4,110.74 × 1,918.92
  4. Step 4: Simplify right side
    2,739x = 7,888,181.20
  5. Step 5: Solve for x
    x = 7,888,181.20/2,739
  6. Step 6: Final answer
    x = 2,879.95

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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.