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Finding the Fourth Proportional to 2,256.26, 3,382.56 and 958.64

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Solution

The fourth proportional to 2,256.26, 3,382.56 and 958.64 is: 1,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.26 : 3,382.56 = 958.64 : x
  2. Step 2: Convert to fraction form
    2,256.26/3,382.56 = 958.64/x
  3. Step 3: Cross multiply
    2,256.26x = 3,382.56 × 958.64
  4. Step 4: Simplify right side
    2,256.26x = 3,242,640.41
  5. Step 5: Solve for x
    x = 3,242,640.41/2,256.26
  6. Step 6: Final answer
    x = 1,437.18

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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.