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Finding the Fourth Proportional to 13,692, 18,894.96 and 8,103

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Solution

The fourth proportional to 13,692, 18,894.96 and 8,103 is: 11,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692 : 18,894.96 = 8,103 : x
  2. Step 2: Convert to fraction form
    13,692/18,894.96 = 8,103/x
  3. Step 3: Cross multiply
    13,692x = 18,894.96 × 8,103
  4. Step 4: Simplify right side
    13,692x = 153,105,860.88
  5. Step 5: Solve for x
    x = 153,105,860.88/13,692
  6. Step 6: Final answer
    x = 11,182.14

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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.