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Finding the Fourth Proportional to 13,940.98, 19,212 and 13,684.78

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Solution

The fourth proportional to 13,940.98, 19,212 and 13,684.78 is: 18,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.98 : 19,212 = 13,684.78 : x
  2. Step 2: Convert to fraction form
    13,940.98/19,212 = 13,684.78/x
  3. Step 3: Cross multiply
    13,940.98x = 19,212 × 13,684.78
  4. Step 4: Simplify right side
    13,940.98x = 262,911,993.36
  5. Step 5: Solve for x
    x = 262,911,993.36/13,940.98
  6. Step 6: Final answer
    x = 18,858.93

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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.