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Finding the Fourth Proportional to 20,650.56, 30,956 and 13,234.24

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Solution

The fourth proportional to 20,650.56, 30,956 and 13,234.24 is: 19,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,650.56 : 30,956 = 13,234.24 : x
  2. Step 2: Convert to fraction form
    20,650.56/30,956 = 13,234.24/x
  3. Step 3: Cross multiply
    20,650.56x = 30,956 × 13,234.24
  4. Step 4: Simplify right side
    20,650.56x = 409,679,133.44
  5. Step 5: Solve for x
    x = 409,679,133.44/20,650.56
  6. Step 6: Final answer
    x = 19,838.65

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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.