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Finding the Fourth Proportional to 3,698.84, 5,104.85 and 2,105.88

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Solution

The fourth proportional to 3,698.84, 5,104.85 and 2,105.88 is: 2,906.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.84 : 5,104.85 = 2,105.88 : x
  2. Step 2: Convert to fraction form
    3,698.84/5,104.85 = 2,105.88/x
  3. Step 3: Cross multiply
    3,698.84x = 5,104.85 × 2,105.88
  4. Step 4: Simplify right side
    3,698.84x = 10,750,206.48
  5. Step 5: Solve for x
    x = 10,750,206.48/3,698.84
  6. Step 6: Final answer
    x = 2,906.37

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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.