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Finding the Fourth Proportional to 19,782.97, 27,301.23 and 11,286.47

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Solution

The fourth proportional to 19,782.97, 27,301.23 and 11,286.47 is: 15,575.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.97 : 27,301.23 = 11,286.47 : x
  2. Step 2: Convert to fraction form
    19,782.97/27,301.23 = 11,286.47/x
  3. Step 3: Cross multiply
    19,782.97x = 27,301.23 × 11,286.47
  4. Step 4: Simplify right side
    19,782.97x = 308,134,513.36
  5. Step 5: Solve for x
    x = 308,134,513.36/19,782.97
  6. Step 6: Final answer
    x = 15,575.75

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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.