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Finding the Fourth Proportional to 13,706.88, 18,912 and 8,736

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Solution

The fourth proportional to 13,706.88, 18,912 and 8,736 is: 12,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.88 : 18,912 = 8,736 : x
  2. Step 2: Convert to fraction form
    13,706.88/18,912 = 8,736/x
  3. Step 3: Cross multiply
    13,706.88x = 18,912 × 8,736
  4. Step 4: Simplify right side
    13,706.88x = 165,215,232
  5. Step 5: Solve for x
    x = 165,215,232/13,706.88
  6. Step 6: Final answer
    x = 12,053.45

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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.