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Finding the Fourth Proportional to 3,838.81, 5,752.05 and 3,469.75

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Solution

The fourth proportional to 3,838.81, 5,752.05 and 3,469.75 is: 5,199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.81 : 5,752.05 = 3,469.75 : x
  2. Step 2: Convert to fraction form
    3,838.81/5,752.05 = 3,469.75/x
  3. Step 3: Cross multiply
    3,838.81x = 5,752.05 × 3,469.75
  4. Step 4: Simplify right side
    3,838.81x = 19,958,175.49
  5. Step 5: Solve for x
    x = 19,958,175.49/3,838.81
  6. Step 6: Final answer
    x = 5,199.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.