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Finding the Fourth Proportional to 3,785.66, 5,671.43 and 2,743.11

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Solution

The fourth proportional to 3,785.66, 5,671.43 and 2,743.11 is: 4,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.66 : 5,671.43 = 2,743.11 : x
  2. Step 2: Convert to fraction form
    3,785.66/5,671.43 = 2,743.11/x
  3. Step 3: Cross multiply
    3,785.66x = 5,671.43 × 2,743.11
  4. Step 4: Simplify right side
    3,785.66x = 15,557,356.81
  5. Step 5: Solve for x
    x = 15,557,356.81/3,785.66
  6. Step 6: Final answer
    x = 4,109.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.