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Finding the Fourth Proportional to 2,755.94, 4,128.44 and 1,290.65

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Solution

The fourth proportional to 2,755.94, 4,128.44 and 1,290.65 is: 1,933.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.94 : 4,128.44 = 1,290.65 : x
  2. Step 2: Convert to fraction form
    2,755.94/4,128.44 = 1,290.65/x
  3. Step 3: Cross multiply
    2,755.94x = 4,128.44 × 1,290.65
  4. Step 4: Simplify right side
    2,755.94x = 5,328,343.99
  5. Step 5: Solve for x
    x = 5,328,343.99/2,755.94
  6. Step 6: Final answer
    x = 1,933.41

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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.