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Finding the Fourth Proportional to 19,086, 28,630.44 and 6,774

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Solution

The fourth proportional to 19,086, 28,630.44 and 6,774 is: 10,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,086 : 28,630.44 = 6,774 : x
  2. Step 2: Convert to fraction form
    19,086/28,630.44 = 6,774/x
  3. Step 3: Cross multiply
    19,086x = 28,630.44 × 6,774
  4. Step 4: Simplify right side
    19,086x = 193,942,600.56
  5. Step 5: Solve for x
    x = 193,942,600.56/19,086
  6. Step 6: Final answer
    x = 10,161.51

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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.