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Finding the Fourth Proportional to 8,413.75, 11,611.02 and 4,687.75

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Solution

The fourth proportional to 8,413.75, 11,611.02 and 4,687.75 is: 6,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.75 : 11,611.02 = 4,687.75 : x
  2. Step 2: Convert to fraction form
    8,413.75/11,611.02 = 4,687.75/x
  3. Step 3: Cross multiply
    8,413.75x = 11,611.02 × 4,687.75
  4. Step 4: Simplify right side
    8,413.75x = 54,429,559.01
  5. Step 5: Solve for x
    x = 54,429,559.01/8,413.75
  6. Step 6: Final answer
    x = 6,469.12

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1.5x scale

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.