Home / 2,828.41-3,903.20-1,649.25

Finding the Fourth Proportional to 2,828.41, 3,903.20 and 1,649.25

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Solution

The fourth proportional to 2,828.41, 3,903.20 and 1,649.25 is: 2,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.41 : 3,903.20 = 1,649.25 : x
  2. Step 2: Convert to fraction form
    2,828.41/3,903.20 = 1,649.25/x
  3. Step 3: Cross multiply
    2,828.41x = 3,903.20 × 1,649.25
  4. Step 4: Simplify right side
    2,828.41x = 6,437,352.60
  5. Step 5: Solve for x
    x = 6,437,352.60/2,828.41
  6. Step 6: Final answer
    x = 2,275.96

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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.