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Finding the Fourth Proportional to 22,684.14, 31,296.63 and 13,728.24

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Solution

The fourth proportional to 22,684.14, 31,296.63 and 13,728.24 is: 18,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.14 : 31,296.63 = 13,728.24 : x
  2. Step 2: Convert to fraction form
    22,684.14/31,296.63 = 13,728.24/x
  3. Step 3: Cross multiply
    22,684.14x = 31,296.63 × 13,728.24
  4. Step 4: Simplify right side
    22,684.14x = 429,647,647.83
  5. Step 5: Solve for x
    x = 429,647,647.83/22,684.14
  6. Step 6: Final answer
    x = 18,940.44

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