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Finding the Fourth Proportional to 3,784.41, 5,671.44 and 2,859.21

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Solution

The fourth proportional to 3,784.41, 5,671.44 and 2,859.21 is: 4,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.41 : 5,671.44 = 2,859.21 : x
  2. Step 2: Convert to fraction form
    3,784.41/5,671.44 = 2,859.21/x
  3. Step 3: Cross multiply
    3,784.41x = 5,671.44 × 2,859.21
  4. Step 4: Simplify right side
    3,784.41x = 16,215,837.96
  5. Step 5: Solve for x
    x = 16,215,837.96/3,784.41
  6. Step 6: Final answer
    x = 4,284.91

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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.