Home / 2,828.15-3,902.88-1,569.22

Finding the Fourth Proportional to 2,828.15, 3,902.88 and 1,569.22

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Solution

The fourth proportional to 2,828.15, 3,902.88 and 1,569.22 is: 2,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.15 : 3,902.88 = 1,569.22 : x
  2. Step 2: Convert to fraction form
    2,828.15/3,902.88 = 1,569.22/x
  3. Step 3: Cross multiply
    2,828.15x = 3,902.88 × 1,569.22
  4. Step 4: Simplify right side
    2,828.15x = 6,124,477.35
  5. Step 5: Solve for x
    x = 6,124,477.35/2,828.15
  6. Step 6: Final answer
    x = 2,165.54

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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.