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Finding the Fourth Proportional to 11,896.12, 16,416.64 and 6,518.57

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Solution

The fourth proportional to 11,896.12, 16,416.64 and 6,518.57 is: 8,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.12 : 16,416.64 = 6,518.57 : x
  2. Step 2: Convert to fraction form
    11,896.12/16,416.64 = 6,518.57/x
  3. Step 3: Cross multiply
    11,896.12x = 16,416.64 × 6,518.57
  4. Step 4: Simplify right side
    11,896.12x = 107,012,943.07
  5. Step 5: Solve for x
    x = 107,012,943.07/11,896.12
  6. Step 6: Final answer
    x = 8,995.62

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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.