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Finding the Fourth Proportional to 6,413.88, 9,609.87 and 3,486.96

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Solution

The fourth proportional to 6,413.88, 9,609.87 and 3,486.96 is: 5,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.88 : 9,609.87 = 3,486.96 : x
  2. Step 2: Convert to fraction form
    6,413.88/9,609.87 = 3,486.96/x
  3. Step 3: Cross multiply
    6,413.88x = 9,609.87 × 3,486.96
  4. Step 4: Simplify right side
    6,413.88x = 33,509,232.30
  5. Step 5: Solve for x
    x = 33,509,232.30/6,413.88
  6. Step 6: Final answer
    x = 5,224.49

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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.