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Finding the Fourth Proportional to 13,842.67, 19,103.92 and 7,876.27

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Solution

The fourth proportional to 13,842.67, 19,103.92 and 7,876.27 is: 10,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.67 : 19,103.92 = 7,876.27 : x
  2. Step 2: Convert to fraction form
    13,842.67/19,103.92 = 7,876.27/x
  3. Step 3: Cross multiply
    13,842.67x = 19,103.92 × 7,876.27
  4. Step 4: Simplify right side
    13,842.67x = 150,467,631.98
  5. Step 5: Solve for x
    x = 150,467,631.98/13,842.67
  6. Step 6: Final answer
    x = 10,869.84

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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.