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Finding the Fourth Proportional to 3,290.92, 4,938.34 and 1,212.39

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Solution

The fourth proportional to 3,290.92, 4,938.34 and 1,212.39 is: 1,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.92 : 4,938.34 = 1,212.39 : x
  2. Step 2: Convert to fraction form
    3,290.92/4,938.34 = 1,212.39/x
  3. Step 3: Cross multiply
    3,290.92x = 4,938.34 × 1,212.39
  4. Step 4: Simplify right side
    3,290.92x = 5,987,172.48
  5. Step 5: Solve for x
    x = 5,987,172.48/3,290.92
  6. Step 6: Final answer
    x = 1,819.30

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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.