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Finding the Fourth Proportional to 3,838.19, 5,749.87 and 3,214.49

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Solution

The fourth proportional to 3,838.19, 5,749.87 and 3,214.49 is: 4,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.19 : 5,749.87 = 3,214.49 : x
  2. Step 2: Convert to fraction form
    3,838.19/5,749.87 = 3,214.49/x
  3. Step 3: Cross multiply
    3,838.19x = 5,749.87 × 3,214.49
  4. Step 4: Simplify right side
    3,838.19x = 18,482,899.62
  5. Step 5: Solve for x
    x = 18,482,899.62/3,838.19
  6. Step 6: Final answer
    x = 4,815.52

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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.