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Finding the Fourth Proportional to 13,847.86, 19,109.56 and 8,542.54

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Solution

The fourth proportional to 13,847.86, 19,109.56 and 8,542.54 is: 11,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.86 : 19,109.56 = 8,542.54 : x
  2. Step 2: Convert to fraction form
    13,847.86/19,109.56 = 8,542.54/x
  3. Step 3: Cross multiply
    13,847.86x = 19,109.56 × 8,542.54
  4. Step 4: Simplify right side
    13,847.86x = 163,244,042.42
  5. Step 5: Solve for x
    x = 163,244,042.42/13,847.86
  6. Step 6: Final answer
    x = 11,788.40

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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.