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Finding the Fourth Proportional to 13,747, 18,975.78 and 8,158

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Solution

The fourth proportional to 13,747, 18,975.78 and 8,158 is: 11,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747 : 18,975.78 = 8,158 : x
  2. Step 2: Convert to fraction form
    13,747/18,975.78 = 8,158/x
  3. Step 3: Cross multiply
    13,747x = 18,975.78 × 8,158
  4. Step 4: Simplify right side
    13,747x = 154,804,413.24
  5. Step 5: Solve for x
    x = 154,804,413.24/13,747
  6. Step 6: Final answer
    x = 11,260.96

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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.