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Finding the Fourth Proportional to 2,786.26, 4,180.02 and 1,969.78

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Solution

The fourth proportional to 2,786.26, 4,180.02 and 1,969.78 is: 2,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.26 : 4,180.02 = 1,969.78 : x
  2. Step 2: Convert to fraction form
    2,786.26/4,180.02 = 1,969.78/x
  3. Step 3: Cross multiply
    2,786.26x = 4,180.02 × 1,969.78
  4. Step 4: Simplify right side
    2,786.26x = 8,233,719.80
  5. Step 5: Solve for x
    x = 8,233,719.80/2,786.26
  6. Step 6: Final answer
    x = 2,955.12

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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.