Home / 2,828.27-3,902.14-1,648.51

Finding the Fourth Proportional to 2,828.27, 3,902.14 and 1,648.51

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Solution

The fourth proportional to 2,828.27, 3,902.14 and 1,648.51 is: 2,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.27 : 3,902.14 = 1,648.51 : x
  2. Step 2: Convert to fraction form
    2,828.27/3,902.14 = 1,648.51/x
  3. Step 3: Cross multiply
    2,828.27x = 3,902.14 × 1,648.51
  4. Step 4: Simplify right side
    2,828.27x = 6,432,709.12
  5. Step 5: Solve for x
    x = 6,432,709.12/2,828.27
  6. Step 6: Final answer
    x = 2,274.43

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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.