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Finding the Fourth Proportional to 3,860.58, 5,791.23 and 1,781.16

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Solution

The fourth proportional to 3,860.58, 5,791.23 and 1,781.16 is: 2,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.58 : 5,791.23 = 1,781.16 : x
  2. Step 2: Convert to fraction form
    3,860.58/5,791.23 = 1,781.16/x
  3. Step 3: Cross multiply
    3,860.58x = 5,791.23 × 1,781.16
  4. Step 4: Simplify right side
    3,860.58x = 10,315,107.23
  5. Step 5: Solve for x
    x = 10,315,107.23/3,860.58
  6. Step 6: Final answer
    x = 2,671.91

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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.