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Finding the Fourth Proportional to 7,804.30, 11,704.02 and 3,906.58

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Solution

The fourth proportional to 7,804.30, 11,704.02 and 3,906.58 is: 5,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.30 : 11,704.02 = 3,906.58 : x
  2. Step 2: Convert to fraction form
    7,804.30/11,704.02 = 3,906.58/x
  3. Step 3: Cross multiply
    7,804.30x = 11,704.02 × 3,906.58
  4. Step 4: Simplify right side
    7,804.30x = 45,722,690.45
  5. Step 5: Solve for x
    x = 45,722,690.45/7,804.30
  6. Step 6: Final answer
    x = 5,858.65

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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.