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Finding the Fourth Proportional to 7,662.30, 11,494.80 and 2,734.80

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Solution

The fourth proportional to 7,662.30, 11,494.80 and 2,734.80 is: 4,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.30 : 11,494.80 = 2,734.80 : x
  2. Step 2: Convert to fraction form
    7,662.30/11,494.80 = 2,734.80/x
  3. Step 3: Cross multiply
    7,662.30x = 11,494.80 × 2,734.80
  4. Step 4: Simplify right side
    7,662.30x = 31,435,979.04
  5. Step 5: Solve for x
    x = 31,435,979.04/7,662.30
  6. Step 6: Final answer
    x = 4,102.68

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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.