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Finding the Fourth Proportional to 18,791.78, 28,187.67 and 7,696.46

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Solution

The fourth proportional to 18,791.78, 28,187.67 and 7,696.46 is: 11,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,791.78 : 28,187.67 = 7,696.46 : x
  2. Step 2: Convert to fraction form
    18,791.78/28,187.67 = 7,696.46/x
  3. Step 3: Cross multiply
    18,791.78x = 28,187.67 × 7,696.46
  4. Step 4: Simplify right side
    18,791.78x = 216,945,133.71
  5. Step 5: Solve for x
    x = 216,945,133.71/18,791.78
  6. Step 6: Final answer
    x = 11,544.69

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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.