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Finding the Fourth Proportional to 3,679.75, 5,078.10 and 2,107.90

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Solution

The fourth proportional to 3,679.75, 5,078.10 and 2,107.90 is: 2,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.75 : 5,078.10 = 2,107.90 : x
  2. Step 2: Convert to fraction form
    3,679.75/5,078.10 = 2,107.90/x
  3. Step 3: Cross multiply
    3,679.75x = 5,078.10 × 2,107.90
  4. Step 4: Simplify right side
    3,679.75x = 10,704,126.99
  5. Step 5: Solve for x
    x = 10,704,126.99/3,679.75
  6. Step 6: Final answer
    x = 2,908.93

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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.