Home / 2,828.66-3,904.27-1,649.90

Finding the Fourth Proportional to 2,828.66, 3,904.27 and 1,649.90

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Solution

The fourth proportional to 2,828.66, 3,904.27 and 1,649.90 is: 2,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.66 : 3,904.27 = 1,649.90 : x
  2. Step 2: Convert to fraction form
    2,828.66/3,904.27 = 1,649.90/x
  3. Step 3: Cross multiply
    2,828.66x = 3,904.27 × 1,649.90
  4. Step 4: Simplify right side
    2,828.66x = 6,441,660.71
  5. Step 5: Solve for x
    x = 6,441,660.71/2,828.66
  6. Step 6: Final answer
    x = 2,277.29

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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.