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Finding the Fourth Proportional to 7,200.98, 10,797.78 and 3,302

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Solution

The fourth proportional to 7,200.98, 10,797.78 and 3,302 is: 4,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.98 : 10,797.78 = 3,302 : x
  2. Step 2: Convert to fraction form
    7,200.98/10,797.78 = 3,302/x
  3. Step 3: Cross multiply
    7,200.98x = 10,797.78 × 3,302
  4. Step 4: Simplify right side
    7,200.98x = 35,654,269.56
  5. Step 5: Solve for x
    x = 35,654,269.56/7,200.98
  6. Step 6: Final answer
    x = 4,951.31

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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.