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Finding the Fourth Proportional to 2,647.73, 3,973.62 and 1,906.98

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Solution

The fourth proportional to 2,647.73, 3,973.62 and 1,906.98 is: 2,861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.73 : 3,973.62 = 1,906.98 : x
  2. Step 2: Convert to fraction form
    2,647.73/3,973.62 = 1,906.98/x
  3. Step 3: Cross multiply
    2,647.73x = 3,973.62 × 1,906.98
  4. Step 4: Simplify right side
    2,647.73x = 7,577,604.33
  5. Step 5: Solve for x
    x = 7,577,604.33/2,647.73
  6. Step 6: Final answer
    x = 2,861.93

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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.