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Finding the Fourth Proportional to 5,214.32, 7,819.11 and 3,239.87

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Solution

The fourth proportional to 5,214.32, 7,819.11 and 3,239.87 is: 4,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.32 : 7,819.11 = 3,239.87 : x
  2. Step 2: Convert to fraction form
    5,214.32/7,819.11 = 3,239.87/x
  3. Step 3: Cross multiply
    5,214.32x = 7,819.11 × 3,239.87
  4. Step 4: Simplify right side
    5,214.32x = 25,332,919.46
  5. Step 5: Solve for x
    x = 25,332,919.46/5,214.32
  6. Step 6: Final answer
    x = 4,858.34

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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.