Home / 2,120.14-3,179.94-820.72

Finding the Fourth Proportional to 2,120.14, 3,179.94 and 820.72

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Solution

The fourth proportional to 2,120.14, 3,179.94 and 820.72 is: 1,230.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.14 : 3,179.94 = 820.72 : x
  2. Step 2: Convert to fraction form
    2,120.14/3,179.94 = 820.72/x
  3. Step 3: Cross multiply
    2,120.14x = 3,179.94 × 820.72
  4. Step 4: Simplify right side
    2,120.14x = 2,609,840.36
  5. Step 5: Solve for x
    x = 2,609,840.36/2,120.14
  6. Step 6: Final answer
    x = 1,230.98

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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.