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Finding the Fourth Proportional to 9,194, 13,791.28 and 2,268.50

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Solution

The fourth proportional to 9,194, 13,791.28 and 2,268.50 is: 3,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194 : 13,791.28 = 2,268.50 : x
  2. Step 2: Convert to fraction form
    9,194/13,791.28 = 2,268.50/x
  3. Step 3: Cross multiply
    9,194x = 13,791.28 × 2,268.50
  4. Step 4: Simplify right side
    9,194x = 31,285,518.68
  5. Step 5: Solve for x
    x = 31,285,518.68/9,194
  6. Step 6: Final answer
    x = 3,402.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.