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Finding the Fourth Proportional to 1,286.73, 1,774.31 and 936.81

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Solution

The fourth proportional to 1,286.73, 1,774.31 and 936.81 is: 1,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.73 : 1,774.31 = 936.81 : x
  2. Step 2: Convert to fraction form
    1,286.73/1,774.31 = 936.81/x
  3. Step 3: Cross multiply
    1,286.73x = 1,774.31 × 936.81
  4. Step 4: Simplify right side
    1,286.73x = 1,662,186.67
  5. Step 5: Solve for x
    x = 1,662,186.67/1,286.73
  6. Step 6: Final answer
    x = 1,291.79

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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.