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Finding the Fourth Proportional to 13,647.75, 20,474.87 and 4,413.75

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Solution

The fourth proportional to 13,647.75, 20,474.87 and 4,413.75 is: 6,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.75 : 20,474.87 = 4,413.75 : x
  2. Step 2: Convert to fraction form
    13,647.75/20,474.87 = 4,413.75/x
  3. Step 3: Cross multiply
    13,647.75x = 20,474.87 × 4,413.75
  4. Step 4: Simplify right side
    13,647.75x = 90,370,935.39
  5. Step 5: Solve for x
    x = 90,370,935.39/13,647.75
  6. Step 6: Final answer
    x = 6,621.67

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1.5x scale

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.