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Finding the Fourth Proportional to 2,743.88, 3,779.87 and 2,080.08

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Solution

The fourth proportional to 2,743.88, 3,779.87 and 2,080.08 is: 2,865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.88 : 3,779.87 = 2,080.08 : x
  2. Step 2: Convert to fraction form
    2,743.88/3,779.87 = 2,080.08/x
  3. Step 3: Cross multiply
    2,743.88x = 3,779.87 × 2,080.08
  4. Step 4: Simplify right side
    2,743.88x = 7,862,421.59
  5. Step 5: Solve for x
    x = 7,862,421.59/2,743.88
  6. Step 6: Final answer
    x = 2,865.44

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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.