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Finding the Fourth Proportional to 9,782.21, 13,502.22 and 8,018.03

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Solution

The fourth proportional to 9,782.21, 13,502.22 and 8,018.03 is: 11,067.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.21 : 13,502.22 = 8,018.03 : x
  2. Step 2: Convert to fraction form
    9,782.21/13,502.22 = 8,018.03/x
  3. Step 3: Cross multiply
    9,782.21x = 13,502.22 × 8,018.03
  4. Step 4: Simplify right side
    9,782.21x = 108,261,205.03
  5. Step 5: Solve for x
    x = 108,261,205.03/9,782.21
  6. Step 6: Final answer
    x = 11,067.15

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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.