Home / 2,020.75-3,031.09-980.57

Finding the Fourth Proportional to 2,020.75, 3,031.09 and 980.57

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Solution

The fourth proportional to 2,020.75, 3,031.09 and 980.57 is: 1,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.75 : 3,031.09 = 980.57 : x
  2. Step 2: Convert to fraction form
    2,020.75/3,031.09 = 980.57/x
  3. Step 3: Cross multiply
    2,020.75x = 3,031.09 × 980.57
  4. Step 4: Simplify right side
    2,020.75x = 2,972,201.05
  5. Step 5: Solve for x
    x = 2,972,201.05/2,020.75
  6. Step 6: Final answer
    x = 1,470.84

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1.5x scale

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.