Home / 7,811.82-11,717.80-1,968.43

Finding the Fourth Proportional to 7,811.82, 11,717.80 and 1,968.43

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Solution

The fourth proportional to 7,811.82, 11,717.80 and 1,968.43 is: 2,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.82 : 11,717.80 = 1,968.43 : x
  2. Step 2: Convert to fraction form
    7,811.82/11,717.80 = 1,968.43/x
  3. Step 3: Cross multiply
    7,811.82x = 11,717.80 × 1,968.43
  4. Step 4: Simplify right side
    7,811.82x = 23,065,645.91
  5. Step 5: Solve for x
    x = 23,065,645.91/7,811.82
  6. Step 6: Final answer
    x = 2,952.66

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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.