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Finding the Fourth Proportional to 1,906.94, 2,629.87 and 1,309.16

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Solution

The fourth proportional to 1,906.94, 2,629.87 and 1,309.16 is: 1,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.94 : 2,629.87 = 1,309.16 : x
  2. Step 2: Convert to fraction form
    1,906.94/2,629.87 = 1,309.16/x
  3. Step 3: Cross multiply
    1,906.94x = 2,629.87 × 1,309.16
  4. Step 4: Simplify right side
    1,906.94x = 3,442,923.91
  5. Step 5: Solve for x
    x = 3,442,923.91/1,906.94
  6. Step 6: Final answer
    x = 1,805.47

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Why These Related Problems?

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