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Finding the Fourth Proportional to 36,701, 50,647.40 and 21,797

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Solution

The fourth proportional to 36,701, 50,647.40 and 21,797 is: 30,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,701 : 50,647.40 = 21,797 : x
  2. Step 2: Convert to fraction form
    36,701/50,647.40 = 21,797/x
  3. Step 3: Cross multiply
    36,701x = 50,647.40 × 21,797
  4. Step 4: Simplify right side
    36,701x = 1,103,961,377.80
  5. Step 5: Solve for x
    x = 1,103,961,377.80/36,701
  6. Step 6: Final answer
    x = 30,079.87

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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.