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Finding the Fourth Proportional to 3,679.80, 5,078.08 and 2,107.88

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Solution

The fourth proportional to 3,679.80, 5,078.08 and 2,107.88 is: 2,908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.80 : 5,078.08 = 2,107.88 : x
  2. Step 2: Convert to fraction form
    3,679.80/5,078.08 = 2,107.88/x
  3. Step 3: Cross multiply
    3,679.80x = 5,078.08 × 2,107.88
  4. Step 4: Simplify right side
    3,679.80x = 10,703,983.27
  5. Step 5: Solve for x
    x = 10,703,983.27/3,679.80
  6. Step 6: Final answer
    x = 2,908.85

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1.5x scale

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.