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Finding the Fourth Proportional to 3,704.51, 5,108.38 and 3,175.22

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Solution

The fourth proportional to 3,704.51, 5,108.38 and 3,175.22 is: 4,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.51 : 5,108.38 = 3,175.22 : x
  2. Step 2: Convert to fraction form
    3,704.51/5,108.38 = 3,175.22/x
  3. Step 3: Cross multiply
    3,704.51x = 5,108.38 × 3,175.22
  4. Step 4: Simplify right side
    3,704.51x = 16,220,235.18
  5. Step 5: Solve for x
    x = 16,220,235.18/3,704.51
  6. Step 6: Final answer
    x = 4,378.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.