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Finding the Fourth Proportional to 6,413.72, 9,609.90 and 6,170.60

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Solution

The fourth proportional to 6,413.72, 9,609.90 and 6,170.60 is: 9,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.72 : 9,609.90 = 6,170.60 : x
  2. Step 2: Convert to fraction form
    6,413.72/9,609.90 = 6,170.60/x
  3. Step 3: Cross multiply
    6,413.72x = 9,609.90 × 6,170.60
  4. Step 4: Simplify right side
    6,413.72x = 59,298,848.94
  5. Step 5: Solve for x
    x = 59,298,848.94/6,413.72
  6. Step 6: Final answer
    x = 9,245.62

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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.