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Finding the Fourth Proportional to 11,724.48, 16,178.94 and 6,418.44

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Solution

The fourth proportional to 11,724.48, 16,178.94 and 6,418.44 is: 8,856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724.48 : 16,178.94 = 6,418.44 : x
  2. Step 2: Convert to fraction form
    11,724.48/16,178.94 = 6,418.44/x
  3. Step 3: Cross multiply
    11,724.48x = 16,178.94 × 6,418.44
  4. Step 4: Simplify right side
    11,724.48x = 103,843,555.65
  5. Step 5: Solve for x
    x = 103,843,555.65/11,724.48
  6. Step 6: Final answer
    x = 8,856.99

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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.