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Finding the Fourth Proportional to 36,513, 54,769.62 and 8,811

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Solution

The fourth proportional to 36,513, 54,769.62 and 8,811 is: 13,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,513 : 54,769.62 = 8,811 : x
  2. Step 2: Convert to fraction form
    36,513/54,769.62 = 8,811/x
  3. Step 3: Cross multiply
    36,513x = 54,769.62 × 8,811
  4. Step 4: Simplify right side
    36,513x = 482,575,121.82
  5. Step 5: Solve for x
    x = 482,575,121.82/36,513
  6. Step 6: Final answer
    x = 13,216.53

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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.