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Finding the Fourth Proportional to 2,120.06, 3,180.09 and 965

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Solution

The fourth proportional to 2,120.06, 3,180.09 and 965 is: 1,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.06 : 3,180.09 = 965 : x
  2. Step 2: Convert to fraction form
    2,120.06/3,180.09 = 965/x
  3. Step 3: Cross multiply
    2,120.06x = 3,180.09 × 965
  4. Step 4: Simplify right side
    2,120.06x = 3,068,786.85
  5. Step 5: Solve for x
    x = 3,068,786.85/2,120.06
  6. Step 6: Final answer
    x = 1,447.50

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.