Home / 1,984.85-2,738.90-1,100.64

Finding the Fourth Proportional to 1,984.85, 2,738.90 and 1,100.64

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Solution

The fourth proportional to 1,984.85, 2,738.90 and 1,100.64 is: 1,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.85 : 2,738.90 = 1,100.64 : x
  2. Step 2: Convert to fraction form
    1,984.85/2,738.90 = 1,100.64/x
  3. Step 3: Cross multiply
    1,984.85x = 2,738.90 × 1,100.64
  4. Step 4: Simplify right side
    1,984.85x = 3,014,545.65
  5. Step 5: Solve for x
    x = 3,014,545.65/1,984.85
  6. Step 6: Final answer
    x = 1,518.78

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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.