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Finding the Fourth Proportional to 3,755.68, 5,634 and 1,290.88

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Solution

The fourth proportional to 3,755.68, 5,634 and 1,290.88 is: 1,936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.68 : 5,634 = 1,290.88 : x
  2. Step 2: Convert to fraction form
    3,755.68/5,634 = 1,290.88/x
  3. Step 3: Cross multiply
    3,755.68x = 5,634 × 1,290.88
  4. Step 4: Simplify right side
    3,755.68x = 7,272,817.92
  5. Step 5: Solve for x
    x = 7,272,817.92/3,755.68
  6. Step 6: Final answer
    x = 1,936.48

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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.