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Finding the Fourth Proportional to 13,878.92, 20,817 and 4,518.56

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Solution

The fourth proportional to 13,878.92, 20,817 and 4,518.56 is: 6,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.92 : 20,817 = 4,518.56 : x
  2. Step 2: Convert to fraction form
    13,878.92/20,817 = 4,518.56/x
  3. Step 3: Cross multiply
    13,878.92x = 20,817 × 4,518.56
  4. Step 4: Simplify right side
    13,878.92x = 94,062,759.44
  5. Step 5: Solve for x
    x = 94,062,759.44/13,878.92
  6. Step 6: Final answer
    x = 6,777.39

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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.