Home / 2,828.13-3,902.76-1,569.17

Finding the Fourth Proportional to 2,828.13, 3,902.76 and 1,569.17

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Solution

The fourth proportional to 2,828.13, 3,902.76 and 1,569.17 is: 2,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.13 : 3,902.76 = 1,569.17 : x
  2. Step 2: Convert to fraction form
    2,828.13/3,902.76 = 1,569.17/x
  3. Step 3: Cross multiply
    2,828.13x = 3,902.76 × 1,569.17
  4. Step 4: Simplify right side
    2,828.13x = 6,124,078.25
  5. Step 5: Solve for x
    x = 6,124,078.25/2,828.13
  6. Step 6: Final answer
    x = 2,165.42

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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.