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Finding the Fourth Proportional to 2,743.84, 3,785.34 and 1,682.02

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Solution

The fourth proportional to 2,743.84, 3,785.34 and 1,682.02 is: 2,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.84 : 3,785.34 = 1,682.02 : x
  2. Step 2: Convert to fraction form
    2,743.84/3,785.34 = 1,682.02/x
  3. Step 3: Cross multiply
    2,743.84x = 3,785.34 × 1,682.02
  4. Step 4: Simplify right side
    2,743.84x = 6,367,017.59
  5. Step 5: Solve for x
    x = 6,367,017.59/2,743.84
  6. Step 6: Final answer
    x = 2,320.48

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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.