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Finding the Fourth Proportional to 3,755.88, 5,634.14 and 1,290.87

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Solution

The fourth proportional to 3,755.88, 5,634.14 and 1,290.87 is: 1,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.88 : 5,634.14 = 1,290.87 : x
  2. Step 2: Convert to fraction form
    3,755.88/5,634.14 = 1,290.87/x
  3. Step 3: Cross multiply
    3,755.88x = 5,634.14 × 1,290.87
  4. Step 4: Simplify right side
    3,755.88x = 7,272,935.85
  5. Step 5: Solve for x
    x = 7,272,935.85/3,755.88
  6. Step 6: Final answer
    x = 1,936.41

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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.