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Finding the Fourth Proportional to 7,204.70, 10,806.84 and 3,938.48

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Solution

The fourth proportional to 7,204.70, 10,806.84 and 3,938.48 is: 5,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.70 : 10,806.84 = 3,938.48 : x
  2. Step 2: Convert to fraction form
    7,204.70/10,806.84 = 3,938.48/x
  3. Step 3: Cross multiply
    7,204.70x = 10,806.84 × 3,938.48
  4. Step 4: Simplify right side
    7,204.70x = 42,562,469.17
  5. Step 5: Solve for x
    x = 42,562,469.17/7,204.70
  6. Step 6: Final answer
    x = 5,907.60

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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.