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Finding the Fourth Proportional to 13,806, 19,054.08 and 8,217

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Solution

The fourth proportional to 13,806, 19,054.08 and 8,217 is: 11,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806 : 19,054.08 = 8,217 : x
  2. Step 2: Convert to fraction form
    13,806/19,054.08 = 8,217/x
  3. Step 3: Cross multiply
    13,806x = 19,054.08 × 8,217
  4. Step 4: Simplify right side
    13,806x = 156,567,375.36
  5. Step 5: Solve for x
    x = 156,567,375.36/13,806
  6. Step 6: Final answer
    x = 11,340.53

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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.