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Finding the Fourth Proportional to 12,496.75, 18,730.54 and 6,947.44

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Solution

The fourth proportional to 12,496.75, 18,730.54 and 6,947.44 is: 10,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.75 : 18,730.54 = 6,947.44 : x
  2. Step 2: Convert to fraction form
    12,496.75/18,730.54 = 6,947.44/x
  3. Step 3: Cross multiply
    12,496.75x = 18,730.54 × 6,947.44
  4. Step 4: Simplify right side
    12,496.75x = 130,129,302.82
  5. Step 5: Solve for x
    x = 130,129,302.82/12,496.75
  6. Step 6: Final answer
    x = 10,413.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.