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Finding the Fourth Proportional to 1,965.91, 2,713.22 and 1,269.31

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Solution

The fourth proportional to 1,965.91, 2,713.22 and 1,269.31 is: 1,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.91 : 2,713.22 = 1,269.31 : x
  2. Step 2: Convert to fraction form
    1,965.91/2,713.22 = 1,269.31/x
  3. Step 3: Cross multiply
    1,965.91x = 2,713.22 × 1,269.31
  4. Step 4: Simplify right side
    1,965.91x = 3,443,917.28
  5. Step 5: Solve for x
    x = 3,443,917.28/1,965.91
  6. Step 6: Final answer
    x = 1,751.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.