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Finding the Fourth Proportional to 13,704.08, 18,910.68 and 8,114

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Solution

The fourth proportional to 13,704.08, 18,910.68 and 8,114 is: 11,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.08 : 18,910.68 = 8,114 : x
  2. Step 2: Convert to fraction form
    13,704.08/18,910.68 = 8,114/x
  3. Step 3: Cross multiply
    13,704.08x = 18,910.68 × 8,114
  4. Step 4: Simplify right side
    13,704.08x = 153,441,257.52
  5. Step 5: Solve for x
    x = 153,441,257.52/13,704.08
  6. Step 6: Final answer
    x = 11,196.76

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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.