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Finding the Fourth Proportional to 2,971.82, 4,451.78 and 1,413.33

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Solution

The fourth proportional to 2,971.82, 4,451.78 and 1,413.33 is: 2,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.82 : 4,451.78 = 1,413.33 : x
  2. Step 2: Convert to fraction form
    2,971.82/4,451.78 = 1,413.33/x
  3. Step 3: Cross multiply
    2,971.82x = 4,451.78 × 1,413.33
  4. Step 4: Simplify right side
    2,971.82x = 6,291,838.16
  5. Step 5: Solve for x
    x = 6,291,838.16/2,971.82
  6. Step 6: Final answer
    x = 2,117.16

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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.