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Finding the Fourth Proportional to 2,255.46, 3,381.57 and 956.22

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Solution

The fourth proportional to 2,255.46, 3,381.57 and 956.22 is: 1,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.46 : 3,381.57 = 956.22 : x
  2. Step 2: Convert to fraction form
    2,255.46/3,381.57 = 956.22/x
  3. Step 3: Cross multiply
    2,255.46x = 3,381.57 × 956.22
  4. Step 4: Simplify right side
    2,255.46x = 3,233,524.87
  5. Step 5: Solve for x
    x = 3,233,524.87/2,255.46
  6. Step 6: Final answer
    x = 1,433.64

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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.