Home / 2,021.98-3,032.22-705.40

Finding the Fourth Proportional to 2,021.98, 3,032.22 and 705.40

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Solution

The fourth proportional to 2,021.98, 3,032.22 and 705.40 is: 1,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.98 : 3,032.22 = 705.40 : x
  2. Step 2: Convert to fraction form
    2,021.98/3,032.22 = 705.40/x
  3. Step 3: Cross multiply
    2,021.98x = 3,032.22 × 705.40
  4. Step 4: Simplify right side
    2,021.98x = 2,138,909.30
  5. Step 5: Solve for x
    x = 2,138,909.30/2,021.98
  6. Step 6: Final answer
    x = 1,057.83

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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.