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Finding the Fourth Proportional to 3,698.44, 5,103.81 and 2,019.88

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Solution

The fourth proportional to 3,698.44, 5,103.81 and 2,019.88 is: 2,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.44 : 5,103.81 = 2,019.88 : x
  2. Step 2: Convert to fraction form
    3,698.44/5,103.81 = 2,019.88/x
  3. Step 3: Cross multiply
    3,698.44x = 5,103.81 × 2,019.88
  4. Step 4: Simplify right side
    3,698.44x = 10,309,083.74
  5. Step 5: Solve for x
    x = 10,309,083.74/3,698.44
  6. Step 6: Final answer
    x = 2,787.41

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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.