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Finding the Fourth Proportional to 13,954.98, 19,257.93 and 8,211

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Solution

The fourth proportional to 13,954.98, 19,257.93 and 8,211 is: 11,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.98 : 19,257.93 = 8,211 : x
  2. Step 2: Convert to fraction form
    13,954.98/19,257.93 = 8,211/x
  3. Step 3: Cross multiply
    13,954.98x = 19,257.93 × 8,211
  4. Step 4: Simplify right side
    13,954.98x = 158,126,863.23
  5. Step 5: Solve for x
    x = 158,126,863.23/13,954.98
  6. Step 6: Final answer
    x = 11,331.21

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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.