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Finding the Fourth Proportional to 5,609.10, 8,413.65 and 3,640.80

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Solution

The fourth proportional to 5,609.10, 8,413.65 and 3,640.80 is: 5,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.10 : 8,413.65 = 3,640.80 : x
  2. Step 2: Convert to fraction form
    5,609.10/8,413.65 = 3,640.80/x
  3. Step 3: Cross multiply
    5,609.10x = 8,413.65 × 3,640.80
  4. Step 4: Simplify right side
    5,609.10x = 30,632,416.92
  5. Step 5: Solve for x
    x = 30,632,416.92/5,609.10
  6. Step 6: Final answer
    x = 5,461.20

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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.