Home / 2,021.28-3,031.68-722.64

Finding the Fourth Proportional to 2,021.28, 3,031.68 and 722.64

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Solution

The fourth proportional to 2,021.28, 3,031.68 and 722.64 is: 1,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.28 : 3,031.68 = 722.64 : x
  2. Step 2: Convert to fraction form
    2,021.28/3,031.68 = 722.64/x
  3. Step 3: Cross multiply
    2,021.28x = 3,031.68 × 722.64
  4. Step 4: Simplify right side
    2,021.28x = 2,190,813.24
  5. Step 5: Solve for x
    x = 2,190,813.24/2,021.28
  6. Step 6: Final answer
    x = 1,083.87

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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.