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Finding the Fourth Proportional to 13,118, 19,680.24 and 3,884

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Solution

The fourth proportional to 13,118, 19,680.24 and 3,884 is: 5,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,118 : 19,680.24 = 3,884 : x
  2. Step 2: Convert to fraction form
    13,118/19,680.24 = 3,884/x
  3. Step 3: Cross multiply
    13,118x = 19,680.24 × 3,884
  4. Step 4: Simplify right side
    13,118x = 76,438,052.16
  5. Step 5: Solve for x
    x = 76,438,052.16/13,118
  6. Step 6: Final answer
    x = 5,826.96

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Why These Related Problems?

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