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Finding the Fourth Proportional to 14,868, 20,517.84 and 8,244

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Solution

The fourth proportional to 14,868, 20,517.84 and 8,244 is: 11,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,868 : 20,517.84 = 8,244 : x
  2. Step 2: Convert to fraction form
    14,868/20,517.84 = 8,244/x
  3. Step 3: Cross multiply
    14,868x = 20,517.84 × 8,244
  4. Step 4: Simplify right side
    14,868x = 169,149,072.96
  5. Step 5: Solve for x
    x = 169,149,072.96/14,868
  6. Step 6: Final answer
    x = 11,376.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.