Home / 2,021.14-3,031.71-705.21

Finding the Fourth Proportional to 2,021.14, 3,031.71 and 705.21

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Solution

The fourth proportional to 2,021.14, 3,031.71 and 705.21 is: 1,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.14 : 3,031.71 = 705.21 : x
  2. Step 2: Convert to fraction form
    2,021.14/3,031.71 = 705.21/x
  3. Step 3: Cross multiply
    2,021.14x = 3,031.71 × 705.21
  4. Step 4: Simplify right side
    2,021.14x = 2,137,992.21
  5. Step 5: Solve for x
    x = 2,137,992.21/2,021.14
  6. Step 6: Final answer
    x = 1,057.82

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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.