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Finding the Fourth Proportional to 3,968.15, 5,952.22 and 1,194.80

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Solution

The fourth proportional to 3,968.15, 5,952.22 and 1,194.80 is: 1,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.15 : 5,952.22 = 1,194.80 : x
  2. Step 2: Convert to fraction form
    3,968.15/5,952.22 = 1,194.80/x
  3. Step 3: Cross multiply
    3,968.15x = 5,952.22 × 1,194.80
  4. Step 4: Simplify right side
    3,968.15x = 7,111,679.71
  5. Step 5: Solve for x
    x = 7,111,679.71/3,968.15
  6. Step 6: Final answer
    x = 1,792.19

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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.