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Finding the Fourth Proportional to 36,153.20, 54,231.48 and 12,782

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Solution

The fourth proportional to 36,153.20, 54,231.48 and 12,782 is: 19,173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,153.20 : 54,231.48 = 12,782 : x
  2. Step 2: Convert to fraction form
    36,153.20/54,231.48 = 12,782/x
  3. Step 3: Cross multiply
    36,153.20x = 54,231.48 × 12,782
  4. Step 4: Simplify right side
    36,153.20x = 693,186,777.36
  5. Step 5: Solve for x
    x = 693,186,777.36/36,153.20
  6. Step 6: Final answer
    x = 19,173.59

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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.