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Finding the Fourth Proportional to 3,738, 5,606.28 and 1,272.80

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Solution

The fourth proportional to 3,738, 5,606.28 and 1,272.80 is: 1,908.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738 : 5,606.28 = 1,272.80 : x
  2. Step 2: Convert to fraction form
    3,738/5,606.28 = 1,272.80/x
  3. Step 3: Cross multiply
    3,738x = 5,606.28 × 1,272.80
  4. Step 4: Simplify right side
    3,738x = 7,135,673.18
  5. Step 5: Solve for x
    x = 7,135,673.18/3,738
  6. Step 6: Final answer
    x = 1,908.95

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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.