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Finding the Fourth Proportional to 5,609, 8,413.66 and 1,505

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Solution

The fourth proportional to 5,609, 8,413.66 and 1,505 is: 2,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609 : 8,413.66 = 1,505 : x
  2. Step 2: Convert to fraction form
    5,609/8,413.66 = 1,505/x
  3. Step 3: Cross multiply
    5,609x = 8,413.66 × 1,505
  4. Step 4: Simplify right side
    5,609x = 12,662,558.30
  5. Step 5: Solve for x
    x = 12,662,558.30/5,609
  6. Step 6: Final answer
    x = 2,257.54

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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.