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Finding the Fourth Proportional to 2,144.49, 3,211.49 and 1,936.72

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Solution

The fourth proportional to 2,144.49, 3,211.49 and 1,936.72 is: 2,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.49 : 3,211.49 = 1,936.72 : x
  2. Step 2: Convert to fraction form
    2,144.49/3,211.49 = 1,936.72/x
  3. Step 3: Cross multiply
    2,144.49x = 3,211.49 × 1,936.72
  4. Step 4: Simplify right side
    2,144.49x = 6,219,747.23
  5. Step 5: Solve for x
    x = 6,219,747.23/2,144.49
  6. Step 6: Final answer
    x = 2,900.35

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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.