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Finding the Fourth Proportional to 2,645.69, 3,971.09 and 1,413.95

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Solution

The fourth proportional to 2,645.69, 3,971.09 and 1,413.95 is: 2,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.69 : 3,971.09 = 1,413.95 : x
  2. Step 2: Convert to fraction form
    2,645.69/3,971.09 = 1,413.95/x
  3. Step 3: Cross multiply
    2,645.69x = 3,971.09 × 1,413.95
  4. Step 4: Simplify right side
    2,645.69x = 5,614,895.78
  5. Step 5: Solve for x
    x = 5,614,895.78/2,645.69
  6. Step 6: Final answer
    x = 2,122.28

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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.