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Finding the Fourth Proportional to 7,891.36, 11,836.97 and 1,968.20

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Solution

The fourth proportional to 7,891.36, 11,836.97 and 1,968.20 is: 2,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.36 : 11,836.97 = 1,968.20 : x
  2. Step 2: Convert to fraction form
    7,891.36/11,836.97 = 1,968.20/x
  3. Step 3: Cross multiply
    7,891.36x = 11,836.97 × 1,968.20
  4. Step 4: Simplify right side
    7,891.36x = 23,297,507.10
  5. Step 5: Solve for x
    x = 23,297,507.10/7,891.36
  6. Step 6: Final answer
    x = 2,952.28

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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.