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Finding the Fourth Proportional to 3,736.05, 5,605.29 and 1,272.44

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Solution

The fourth proportional to 3,736.05, 5,605.29 and 1,272.44 is: 1,909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.05 : 5,605.29 = 1,272.44 : x
  2. Step 2: Convert to fraction form
    3,736.05/5,605.29 = 1,272.44/x
  3. Step 3: Cross multiply
    3,736.05x = 5,605.29 × 1,272.44
  4. Step 4: Simplify right side
    3,736.05x = 7,132,367.18
  5. Step 5: Solve for x
    x = 7,132,367.18/3,736.05
  6. Step 6: Final answer
    x = 1,909.07

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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.