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Finding the Fourth Proportional to 3,828, 5,742 and 1,519.50

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Solution

The fourth proportional to 3,828, 5,742 and 1,519.50 is: 2,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828 : 5,742 = 1,519.50 : x
  2. Step 2: Convert to fraction form
    3,828/5,742 = 1,519.50/x
  3. Step 3: Cross multiply
    3,828x = 5,742 × 1,519.50
  4. Step 4: Simplify right side
    3,828x = 8,724,969
  5. Step 5: Solve for x
    x = 8,724,969/3,828
  6. Step 6: Final answer
    x = 2,279.25

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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.