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Finding the Fourth Proportional to 3,738.40, 5,602.08 and 1,791.52

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Solution

The fourth proportional to 3,738.40, 5,602.08 and 1,791.52 is: 2,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.40 : 5,602.08 = 1,791.52 : x
  2. Step 2: Convert to fraction form
    3,738.40/5,602.08 = 1,791.52/x
  3. Step 3: Cross multiply
    3,738.40x = 5,602.08 × 1,791.52
  4. Step 4: Simplify right side
    3,738.40x = 10,036,238.36
  5. Step 5: Solve for x
    x = 10,036,238.36/3,738.40
  6. Step 6: Final answer
    x = 2,684.63

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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.