Home / 2,828.68-3,902.24-1,780

Finding the Fourth Proportional to 2,828.68, 3,902.24 and 1,780

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Solution

The fourth proportional to 2,828.68, 3,902.24 and 1,780 is: 2,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.68 : 3,902.24 = 1,780 : x
  2. Step 2: Convert to fraction form
    2,828.68/3,902.24 = 1,780/x
  3. Step 3: Cross multiply
    2,828.68x = 3,902.24 × 1,780
  4. Step 4: Simplify right side
    2,828.68x = 6,945,987.20
  5. Step 5: Solve for x
    x = 6,945,987.20/2,828.68
  6. Step 6: Final answer
    x = 2,455.56

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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.