Home / 1,786.11-2,469.54-1,564.43

Finding the Fourth Proportional to 1,786.11, 2,469.54 and 1,564.43

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Solution

The fourth proportional to 1,786.11, 2,469.54 and 1,564.43 is: 2,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.11 : 2,469.54 = 1,564.43 : x
  2. Step 2: Convert to fraction form
    1,786.11/2,469.54 = 1,564.43/x
  3. Step 3: Cross multiply
    1,786.11x = 2,469.54 × 1,564.43
  4. Step 4: Simplify right side
    1,786.11x = 3,863,422.46
  5. Step 5: Solve for x
    x = 3,863,422.46/1,786.11
  6. Step 6: Final answer
    x = 2,163.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.