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Finding the Fourth Proportional to 1,906.84, 2,855.12 and 1,247.08

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Solution

The fourth proportional to 1,906.84, 2,855.12 and 1,247.08 is: 1,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.84 : 2,855.12 = 1,247.08 : x
  2. Step 2: Convert to fraction form
    1,906.84/2,855.12 = 1,247.08/x
  3. Step 3: Cross multiply
    1,906.84x = 2,855.12 × 1,247.08
  4. Step 4: Simplify right side
    1,906.84x = 3,560,563.05
  5. Step 5: Solve for x
    x = 3,560,563.05/1,906.84
  6. Step 6: Final answer
    x = 1,867.26

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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.