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Finding the Fourth Proportional to 36,774.88, 50,749.68 and 21,868

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Solution

The fourth proportional to 36,774.88, 50,749.68 and 21,868 is: 30,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,774.88 : 50,749.68 = 21,868 : x
  2. Step 2: Convert to fraction form
    36,774.88/50,749.68 = 21,868/x
  3. Step 3: Cross multiply
    36,774.88x = 50,749.68 × 21,868
  4. Step 4: Simplify right side
    36,774.88x = 1,109,794,002.24
  5. Step 5: Solve for x
    x = 1,109,794,002.24/36,774.88
  6. Step 6: Final answer
    x = 30,178.05

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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.