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Finding the Fourth Proportional to 13,662.88, 18,851.76 and 8,692

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Solution

The fourth proportional to 13,662.88, 18,851.76 and 8,692 is: 11,993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.88 : 18,851.76 = 8,692 : x
  2. Step 2: Convert to fraction form
    13,662.88/18,851.76 = 8,692/x
  3. Step 3: Cross multiply
    13,662.88x = 18,851.76 × 8,692
  4. Step 4: Simplify right side
    13,662.88x = 163,859,497.92
  5. Step 5: Solve for x
    x = 163,859,497.92/13,662.88
  6. Step 6: Final answer
    x = 11,993.04

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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.