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Finding the Fourth Proportional to 2,874.06, 3,968.01 and 2,278.98

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Solution

The fourth proportional to 2,874.06, 3,968.01 and 2,278.98 is: 3,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.06 : 3,968.01 = 2,278.98 : x
  2. Step 2: Convert to fraction form
    2,874.06/3,968.01 = 2,278.98/x
  3. Step 3: Cross multiply
    2,874.06x = 3,968.01 × 2,278.98
  4. Step 4: Simplify right side
    2,874.06x = 9,043,015.43
  5. Step 5: Solve for x
    x = 9,043,015.43/2,874.06
  6. Step 6: Final answer
    x = 3,146.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.