Home / 2,828.54-3,902.92-1,569.40

Finding the Fourth Proportional to 2,828.54, 3,902.92 and 1,569.40

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Solution

The fourth proportional to 2,828.54, 3,902.92 and 1,569.40 is: 2,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.54 : 3,902.92 = 1,569.40 : x
  2. Step 2: Convert to fraction form
    2,828.54/3,902.92 = 1,569.40/x
  3. Step 3: Cross multiply
    2,828.54x = 3,902.92 × 1,569.40
  4. Step 4: Simplify right side
    2,828.54x = 6,125,228.97
  5. Step 5: Solve for x
    x = 6,125,228.97/2,828.54
  6. Step 6: Final answer
    x = 2,165.51

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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.