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Finding the Fourth Proportional to 9,314.25, 13,954.78 and 7,984.96

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Solution

The fourth proportional to 9,314.25, 13,954.78 and 7,984.96 is: 11,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.25 : 13,954.78 = 7,984.96 : x
  2. Step 2: Convert to fraction form
    9,314.25/13,954.78 = 7,984.96/x
  3. Step 3: Cross multiply
    9,314.25x = 13,954.78 × 7,984.96
  4. Step 4: Simplify right side
    9,314.25x = 111,428,413.70
  5. Step 5: Solve for x
    x = 111,428,413.70/9,314.25
  6. Step 6: Final answer
    x = 11,963.22

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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.