Home / 2,049.71-2,828.39-1,165.46

Finding the Fourth Proportional to 2,049.71, 2,828.39 and 1,165.46

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Solution

The fourth proportional to 2,049.71, 2,828.39 and 1,165.46 is: 1,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.71 : 2,828.39 = 1,165.46 : x
  2. Step 2: Convert to fraction form
    2,049.71/2,828.39 = 1,165.46/x
  3. Step 3: Cross multiply
    2,049.71x = 2,828.39 × 1,165.46
  4. Step 4: Simplify right side
    2,049.71x = 3,296,355.44
  5. Step 5: Solve for x
    x = 3,296,355.44/2,049.71
  6. Step 6: Final answer
    x = 1,608.21

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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.