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Finding the Fourth Proportional to 3,609, 5,413.50 and 1,177

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Solution

The fourth proportional to 3,609, 5,413.50 and 1,177 is: 1,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609 : 5,413.50 = 1,177 : x
  2. Step 2: Convert to fraction form
    3,609/5,413.50 = 1,177/x
  3. Step 3: Cross multiply
    3,609x = 5,413.50 × 1,177
  4. Step 4: Simplify right side
    3,609x = 6,371,689.50
  5. Step 5: Solve for x
    x = 6,371,689.50/3,609
  6. Step 6: Final answer
    x = 1,765.50

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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.