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Finding the Fourth Proportional to 1,301.81, 1,936.11 and 1,268.97

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Solution

The fourth proportional to 1,301.81, 1,936.11 and 1,268.97 is: 1,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.81 : 1,936.11 = 1,268.97 : x
  2. Step 2: Convert to fraction form
    1,301.81/1,936.11 = 1,268.97/x
  3. Step 3: Cross multiply
    1,301.81x = 1,936.11 × 1,268.97
  4. Step 4: Simplify right side
    1,301.81x = 2,456,865.51
  5. Step 5: Solve for x
    x = 2,456,865.51/1,301.81
  6. Step 6: Final answer
    x = 1,887.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.