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Finding the Fourth Proportional to 36,514.50, 54,771.75 and 8,812.50

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Solution

The fourth proportional to 36,514.50, 54,771.75 and 8,812.50 is: 13,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,514.50 : 54,771.75 = 8,812.50 : x
  2. Step 2: Convert to fraction form
    36,514.50/54,771.75 = 8,812.50/x
  3. Step 3: Cross multiply
    36,514.50x = 54,771.75 × 8,812.50
  4. Step 4: Simplify right side
    36,514.50x = 482,676,046.88
  5. Step 5: Solve for x
    x = 482,676,046.88/36,514.50
  6. Step 6: Final answer
    x = 13,218.75

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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.