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Finding the Fourth Proportional to 13,774, 19,012.62 and 8,108.68

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Solution

The fourth proportional to 13,774, 19,012.62 and 8,108.68 is: 11,192.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774 : 19,012.62 = 8,108.68 : x
  2. Step 2: Convert to fraction form
    13,774/19,012.62 = 8,108.68/x
  3. Step 3: Cross multiply
    13,774x = 19,012.62 × 8,108.68
  4. Step 4: Simplify right side
    13,774x = 154,167,251.54
  5. Step 5: Solve for x
    x = 154,167,251.54/13,774
  6. Step 6: Final answer
    x = 11,192.63

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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.