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Finding the Fourth Proportional to 36,531, 50,412.78 and 19,764

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Solution

The fourth proportional to 36,531, 50,412.78 and 19,764 is: 27,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,531 : 50,412.78 = 19,764 : x
  2. Step 2: Convert to fraction form
    36,531/50,412.78 = 19,764/x
  3. Step 3: Cross multiply
    36,531x = 50,412.78 × 19,764
  4. Step 4: Simplify right side
    36,531x = 996,358,183.92
  5. Step 5: Solve for x
    x = 996,358,183.92/36,531
  6. Step 6: Final answer
    x = 27,274.32

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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.