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Finding the Fourth Proportional to 7,968.80, 11,958.60 and 5,188.70

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Solution

The fourth proportional to 7,968.80, 11,958.60 and 5,188.70 is: 7,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.80 : 11,958.60 = 5,188.70 : x
  2. Step 2: Convert to fraction form
    7,968.80/11,958.60 = 5,188.70/x
  3. Step 3: Cross multiply
    7,968.80x = 11,958.60 × 5,188.70
  4. Step 4: Simplify right side
    7,968.80x = 62,049,587.82
  5. Step 5: Solve for x
    x = 62,049,587.82/7,968.80
  6. Step 6: Final answer
    x = 7,786.57

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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.