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Finding the Fourth Proportional to 36,956.50, 51,000 and 20,189.50

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Solution

The fourth proportional to 36,956.50, 51,000 and 20,189.50 is: 27,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,956.50 : 51,000 = 20,189.50 : x
  2. Step 2: Convert to fraction form
    36,956.50/51,000 = 20,189.50/x
  3. Step 3: Cross multiply
    36,956.50x = 51,000 × 20,189.50
  4. Step 4: Simplify right side
    36,956.50x = 1,029,664,500
  5. Step 5: Solve for x
    x = 1,029,664,500/36,956.50
  6. Step 6: Final answer
    x = 27,861.53

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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.