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Finding the Fourth Proportional to 13,774.92, 20,662.54 and 3,914.18

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Solution

The fourth proportional to 13,774.92, 20,662.54 and 3,914.18 is: 5,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.92 : 20,662.54 = 3,914.18 : x
  2. Step 2: Convert to fraction form
    13,774.92/20,662.54 = 3,914.18/x
  3. Step 3: Cross multiply
    13,774.92x = 20,662.54 × 3,914.18
  4. Step 4: Simplify right side
    13,774.92x = 80,876,900.82
  5. Step 5: Solve for x
    x = 80,876,900.82/13,774.92
  6. Step 6: Final answer
    x = 5,871.32

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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.