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Finding the Fourth Proportional to 2,980.14, 4,131.44 and 2,822.15

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Solution

The fourth proportional to 2,980.14, 4,131.44 and 2,822.15 is: 3,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.14 : 4,131.44 = 2,822.15 : x
  2. Step 2: Convert to fraction form
    2,980.14/4,131.44 = 2,822.15/x
  3. Step 3: Cross multiply
    2,980.14x = 4,131.44 × 2,822.15
  4. Step 4: Simplify right side
    2,980.14x = 11,659,539.61
  5. Step 5: Solve for x
    x = 11,659,539.61/2,980.14
  6. Step 6: Final answer
    x = 3,912.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.