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Finding the Fourth Proportional to 7,917.76, 11,850.84 and 5,836.90

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Solution

The fourth proportional to 7,917.76, 11,850.84 and 5,836.90 is: 8,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.76 : 11,850.84 = 5,836.90 : x
  2. Step 2: Convert to fraction form
    7,917.76/11,850.84 = 5,836.90/x
  3. Step 3: Cross multiply
    7,917.76x = 11,850.84 × 5,836.90
  4. Step 4: Simplify right side
    7,917.76x = 69,172,168.00
  5. Step 5: Solve for x
    x = 69,172,168.00/7,917.76
  6. Step 6: Final answer
    x = 8,736.33

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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.