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Finding the Fourth Proportional to 36,546, 54,786.12 and 13,156

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Solution

The fourth proportional to 36,546, 54,786.12 and 13,156 is: 19,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,546 : 54,786.12 = 13,156 : x
  2. Step 2: Convert to fraction form
    36,546/54,786.12 = 13,156/x
  3. Step 3: Cross multiply
    36,546x = 54,786.12 × 13,156
  4. Step 4: Simplify right side
    36,546x = 720,766,194.72
  5. Step 5: Solve for x
    x = 720,766,194.72/36,546
  6. Step 6: Final answer
    x = 19,722.16

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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.