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Finding the Fourth Proportional to 2,072.42, 3,108.28 and 611.22

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Solution

The fourth proportional to 2,072.42, 3,108.28 and 611.22 is: 916.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.42 : 3,108.28 = 611.22 : x
  2. Step 2: Convert to fraction form
    2,072.42/3,108.28 = 611.22/x
  3. Step 3: Cross multiply
    2,072.42x = 3,108.28 × 611.22
  4. Step 4: Simplify right side
    2,072.42x = 1,899,841.37
  5. Step 5: Solve for x
    x = 1,899,841.37/2,072.42
  6. Step 6: Final answer
    x = 916.73

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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.