Home / 2,078.46-3,111.62-1,427.22

Finding the Fourth Proportional to 2,078.46, 3,111.62 and 1,427.22

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Solution

The fourth proportional to 2,078.46, 3,111.62 and 1,427.22 is: 2,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.46 : 3,111.62 = 1,427.22 : x
  2. Step 2: Convert to fraction form
    2,078.46/3,111.62 = 1,427.22/x
  3. Step 3: Cross multiply
    2,078.46x = 3,111.62 × 1,427.22
  4. Step 4: Simplify right side
    2,078.46x = 4,440,959.16
  5. Step 5: Solve for x
    x = 4,440,959.16/2,078.46
  6. Step 6: Final answer
    x = 2,136.66

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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.