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Finding the Fourth Proportional to 2,650.48, 3,971.96 and 1,951.66

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Solution

The fourth proportional to 2,650.48, 3,971.96 and 1,951.66 is: 2,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.48 : 3,971.96 = 1,951.66 : x
  2. Step 2: Convert to fraction form
    2,650.48/3,971.96 = 1,951.66/x
  3. Step 3: Cross multiply
    2,650.48x = 3,971.96 × 1,951.66
  4. Step 4: Simplify right side
    2,650.48x = 7,751,917.98
  5. Step 5: Solve for x
    x = 7,751,917.98/2,650.48
  6. Step 6: Final answer
    x = 2,924.73

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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.