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Finding the Fourth Proportional to 12,382.14, 18,581.94 and 5,808.54

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Solution

The fourth proportional to 12,382.14, 18,581.94 and 5,808.54 is: 8,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.14 : 18,581.94 = 5,808.54 : x
  2. Step 2: Convert to fraction form
    12,382.14/18,581.94 = 5,808.54/x
  3. Step 3: Cross multiply
    12,382.14x = 18,581.94 × 5,808.54
  4. Step 4: Simplify right side
    12,382.14x = 107,933,941.77
  5. Step 5: Solve for x
    x = 107,933,941.77/12,382.14
  6. Step 6: Final answer
    x = 8,716.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.