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Finding the Fourth Proportional to 36,658, 50,588.31 and 19,891

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Solution

The fourth proportional to 36,658, 50,588.31 and 19,891 is: 27,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,658 : 50,588.31 = 19,891 : x
  2. Step 2: Convert to fraction form
    36,658/50,588.31 = 19,891/x
  3. Step 3: Cross multiply
    36,658x = 50,588.31 × 19,891
  4. Step 4: Simplify right side
    36,658x = 1,006,252,074.21
  5. Step 5: Solve for x
    x = 1,006,252,074.21/36,658
  6. Step 6: Final answer
    x = 27,449.73

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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.