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Finding the Fourth Proportional to 7,968.85, 11,957.02 and 3,810.12

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Solution

The fourth proportional to 7,968.85, 11,957.02 and 3,810.12 is: 5,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.85 : 11,957.02 = 3,810.12 : x
  2. Step 2: Convert to fraction form
    7,968.85/11,957.02 = 3,810.12/x
  3. Step 3: Cross multiply
    7,968.85x = 11,957.02 × 3,810.12
  4. Step 4: Simplify right side
    7,968.85x = 45,557,626.68
  5. Step 5: Solve for x
    x = 45,557,626.68/7,968.85
  6. Step 6: Final answer
    x = 5,716.97

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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.