Home / 2,081.19-3,122.09-782.96

Finding the Fourth Proportional to 2,081.19, 3,122.09 and 782.96

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Solution

The fourth proportional to 2,081.19, 3,122.09 and 782.96 is: 1,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.19 : 3,122.09 = 782.96 : x
  2. Step 2: Convert to fraction form
    2,081.19/3,122.09 = 782.96/x
  3. Step 3: Cross multiply
    2,081.19x = 3,122.09 × 782.96
  4. Step 4: Simplify right side
    2,081.19x = 2,444,467.67
  5. Step 5: Solve for x
    x = 2,444,467.67/2,081.19
  6. Step 6: Final answer
    x = 1,174.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.