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Finding the Fourth Proportional to 5,194.09, 7,790.87 and 1,906.93

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Solution

The fourth proportional to 5,194.09, 7,790.87 and 1,906.93 is: 2,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.09 : 7,790.87 = 1,906.93 : x
  2. Step 2: Convert to fraction form
    5,194.09/7,790.87 = 1,906.93/x
  3. Step 3: Cross multiply
    5,194.09x = 7,790.87 × 1,906.93
  4. Step 4: Simplify right side
    5,194.09x = 14,856,643.73
  5. Step 5: Solve for x
    x = 14,856,643.73/5,194.09
  6. Step 6: Final answer
    x = 2,860.30

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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.