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Finding the Fourth Proportional to 2,739.38, 3,779.04 and 1,993

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Solution

The fourth proportional to 2,739.38, 3,779.04 and 1,993 is: 2,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.38 : 3,779.04 = 1,993 : x
  2. Step 2: Convert to fraction form
    2,739.38/3,779.04 = 1,993/x
  3. Step 3: Cross multiply
    2,739.38x = 3,779.04 × 1,993
  4. Step 4: Simplify right side
    2,739.38x = 7,531,626.72
  5. Step 5: Solve for x
    x = 7,531,626.72/2,739.38
  6. Step 6: Final answer
    x = 2,749.39

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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.