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Finding the Fourth Proportional to 2,170.97, 3,257.37 and 937.75

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Solution

The fourth proportional to 2,170.97, 3,257.37 and 937.75 is: 1,407.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.97 : 3,257.37 = 937.75 : x
  2. Step 2: Convert to fraction form
    2,170.97/3,257.37 = 937.75/x
  3. Step 3: Cross multiply
    2,170.97x = 3,257.37 × 937.75
  4. Step 4: Simplify right side
    2,170.97x = 3,054,590.57
  5. Step 5: Solve for x
    x = 3,054,590.57/2,170.97
  6. Step 6: Final answer
    x = 1,407.01

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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.