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Finding the Fourth Proportional to 3,609.32, 5,413.98 and 1,662.88

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Solution

The fourth proportional to 3,609.32, 5,413.98 and 1,662.88 is: 2,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.32 : 5,413.98 = 1,662.88 : x
  2. Step 2: Convert to fraction form
    3,609.32/5,413.98 = 1,662.88/x
  3. Step 3: Cross multiply
    3,609.32x = 5,413.98 × 1,662.88
  4. Step 4: Simplify right side
    3,609.32x = 9,002,799.06
  5. Step 5: Solve for x
    x = 9,002,799.06/3,609.32
  6. Step 6: Final answer
    x = 2,494.32

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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.