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Finding the Fourth Proportional to 2,739.74, 3,785.85 and 1,952.42

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Solution

The fourth proportional to 2,739.74, 3,785.85 and 1,952.42 is: 2,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.74 : 3,785.85 = 1,952.42 : x
  2. Step 2: Convert to fraction form
    2,739.74/3,785.85 = 1,952.42/x
  3. Step 3: Cross multiply
    2,739.74x = 3,785.85 × 1,952.42
  4. Step 4: Simplify right side
    2,739.74x = 7,391,569.26
  5. Step 5: Solve for x
    x = 7,391,569.26/2,739.74
  6. Step 6: Final answer
    x = 2,697.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.