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Finding the Fourth Proportional to 13,724.74, 18,933.80 and 8,057.68

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Solution

The fourth proportional to 13,724.74, 18,933.80 and 8,057.68 is: 11,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724.74 : 18,933.80 = 8,057.68 : x
  2. Step 2: Convert to fraction form
    13,724.74/18,933.80 = 8,057.68/x
  3. Step 3: Cross multiply
    13,724.74x = 18,933.80 × 8,057.68
  4. Step 4: Simplify right side
    13,724.74x = 152,562,501.58
  5. Step 5: Solve for x
    x = 152,562,501.58/13,724.74
  6. Step 6: Final answer
    x = 11,115.88

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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.