Home / 2,131.90-3,198.20-670.70

Finding the Fourth Proportional to 2,131.90, 3,198.20 and 670.70

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Solution

The fourth proportional to 2,131.90, 3,198.20 and 670.70 is: 1,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.90 : 3,198.20 = 670.70 : x
  2. Step 2: Convert to fraction form
    2,131.90/3,198.20 = 670.70/x
  3. Step 3: Cross multiply
    2,131.90x = 3,198.20 × 670.70
  4. Step 4: Simplify right side
    2,131.90x = 2,145,032.74
  5. Step 5: Solve for x
    x = 2,145,032.74/2,131.90
  6. Step 6: Final answer
    x = 1,006.16

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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.