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Finding the Fourth Proportional to 11,971.93, 17,907.88 and 8,413.80

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Solution

The fourth proportional to 11,971.93, 17,907.88 and 8,413.80 is: 12,585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.93 : 17,907.88 = 8,413.80 : x
  2. Step 2: Convert to fraction form
    11,971.93/17,907.88 = 8,413.80/x
  3. Step 3: Cross multiply
    11,971.93x = 17,907.88 × 8,413.80
  4. Step 4: Simplify right side
    11,971.93x = 150,673,320.74
  5. Step 5: Solve for x
    x = 150,673,320.74/11,971.93
  6. Step 6: Final answer
    x = 12,585.55

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1.5x scale

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.