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Finding the Fourth Proportional to 2,755.70, 4,128.71 and 2,296.42

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Solution

The fourth proportional to 2,755.70, 4,128.71 and 2,296.42 is: 3,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.70 : 4,128.71 = 2,296.42 : x
  2. Step 2: Convert to fraction form
    2,755.70/4,128.71 = 2,296.42/x
  3. Step 3: Cross multiply
    2,755.70x = 4,128.71 × 2,296.42
  4. Step 4: Simplify right side
    2,755.70x = 9,481,252.22
  5. Step 5: Solve for x
    x = 9,481,252.22/2,755.70
  6. Step 6: Final answer
    x = 3,440.60

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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.