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Finding the Fourth Proportional to 19,768.36, 29,662.28 and 9,239.11

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Solution

The fourth proportional to 19,768.36, 29,662.28 and 9,239.11 is: 13,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.36 : 29,662.28 = 9,239.11 : x
  2. Step 2: Convert to fraction form
    19,768.36/29,662.28 = 9,239.11/x
  3. Step 3: Cross multiply
    19,768.36x = 29,662.28 × 9,239.11
  4. Step 4: Simplify right side
    19,768.36x = 274,053,067.77
  5. Step 5: Solve for x
    x = 274,053,067.77/19,768.36
  6. Step 6: Final answer
    x = 13,863.22

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