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Finding the Fourth Proportional to 2,137.75, 2,950.09 and 1,253.54

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Solution

The fourth proportional to 2,137.75, 2,950.09 and 1,253.54 is: 1,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.75 : 2,950.09 = 1,253.54 : x
  2. Step 2: Convert to fraction form
    2,137.75/2,950.09 = 1,253.54/x
  3. Step 3: Cross multiply
    2,137.75x = 2,950.09 × 1,253.54
  4. Step 4: Simplify right side
    2,137.75x = 3,698,060.06
  5. Step 5: Solve for x
    x = 3,698,060.06/2,137.75
  6. Step 6: Final answer
    x = 1,729.89

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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.