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Finding the Fourth Proportional to 2,747.80, 3,791.88 and 1,699.84

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Solution

The fourth proportional to 2,747.80, 3,791.88 and 1,699.84 is: 2,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.80 : 3,791.88 = 1,699.84 : x
  2. Step 2: Convert to fraction form
    2,747.80/3,791.88 = 1,699.84/x
  3. Step 3: Cross multiply
    2,747.80x = 3,791.88 × 1,699.84
  4. Step 4: Simplify right side
    2,747.80x = 6,445,589.30
  5. Step 5: Solve for x
    x = 6,445,589.30/2,747.80
  6. Step 6: Final answer
    x = 2,345.73

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1.5x scale

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.