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Finding the Fourth Proportional to 2,671.88, 3,685.91 and 2,078.42

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Solution

The fourth proportional to 2,671.88, 3,685.91 and 2,078.42 is: 2,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.88 : 3,685.91 = 2,078.42 : x
  2. Step 2: Convert to fraction form
    2,671.88/3,685.91 = 2,078.42/x
  3. Step 3: Cross multiply
    2,671.88x = 3,685.91 × 2,078.42
  4. Step 4: Simplify right side
    2,671.88x = 7,660,840.24
  5. Step 5: Solve for x
    x = 7,660,840.24/2,671.88
  6. Step 6: Final answer
    x = 2,867.22

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Why These Related Problems?

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