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Finding the Fourth Proportional to 7,694.70, 11,532.78 and 3,528.97

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Solution

The fourth proportional to 7,694.70, 11,532.78 and 3,528.97 is: 5,289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.70 : 11,532.78 = 3,528.97 : x
  2. Step 2: Convert to fraction form
    7,694.70/11,532.78 = 3,528.97/x
  3. Step 3: Cross multiply
    7,694.70x = 11,532.78 × 3,528.97
  4. Step 4: Simplify right side
    7,694.70x = 40,698,805.80
  5. Step 5: Solve for x
    x = 40,698,805.80/7,694.70
  6. Step 6: Final answer
    x = 5,289.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.