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Finding the Fourth Proportional to 3,609, 5,413.80 and 1,011.96

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Solution

The fourth proportional to 3,609, 5,413.80 and 1,011.96 is: 1,518.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609 : 5,413.80 = 1,011.96 : x
  2. Step 2: Convert to fraction form
    3,609/5,413.80 = 1,011.96/x
  3. Step 3: Cross multiply
    3,609x = 5,413.80 × 1,011.96
  4. Step 4: Simplify right side
    3,609x = 5,478,549.05
  5. Step 5: Solve for x
    x = 5,478,549.05/3,609
  6. Step 6: Final answer
    x = 1,518.02

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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.