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Finding the Fourth Proportional to 13,800.21, 19,044.88 and 7,832.43

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Solution

The fourth proportional to 13,800.21, 19,044.88 and 7,832.43 is: 10,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.21 : 19,044.88 = 7,832.43 : x
  2. Step 2: Convert to fraction form
    13,800.21/19,044.88 = 7,832.43/x
  3. Step 3: Cross multiply
    13,800.21x = 19,044.88 × 7,832.43
  4. Step 4: Simplify right side
    13,800.21x = 149,167,755.73
  5. Step 5: Solve for x
    x = 149,167,755.73/13,800.21
  6. Step 6: Final answer
    x = 10,809.09

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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.