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Finding the Fourth Proportional to 1,936.45, 2,902.14 and 838.49

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Solution

The fourth proportional to 1,936.45, 2,902.14 and 838.49 is: 1,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.45 : 2,902.14 = 838.49 : x
  2. Step 2: Convert to fraction form
    1,936.45/2,902.14 = 838.49/x
  3. Step 3: Cross multiply
    1,936.45x = 2,902.14 × 838.49
  4. Step 4: Simplify right side
    1,936.45x = 2,433,422.62
  5. Step 5: Solve for x
    x = 2,433,422.62/1,936.45
  6. Step 6: Final answer
    x = 1,256.64

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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.