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Finding the Fourth Proportional to 13,727.27, 18,947.22 and 8,693.93

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Solution

The fourth proportional to 13,727.27, 18,947.22 and 8,693.93 is: 11,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727.27 : 18,947.22 = 8,693.93 : x
  2. Step 2: Convert to fraction form
    13,727.27/18,947.22 = 8,693.93/x
  3. Step 3: Cross multiply
    13,727.27x = 18,947.22 × 8,693.93
  4. Step 4: Simplify right side
    13,727.27x = 164,725,819.14
  5. Step 5: Solve for x
    x = 164,725,819.14/13,727.27
  6. Step 6: Final answer
    x = 11,999.89

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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.