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Finding the Fourth Proportional to 20,657.70, 30,950.10 and 16,939.80

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Solution

The fourth proportional to 20,657.70, 30,950.10 and 16,939.80 is: 25,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.70 : 30,950.10 = 16,939.80 : x
  2. Step 2: Convert to fraction form
    20,657.70/30,950.10 = 16,939.80/x
  3. Step 3: Cross multiply
    20,657.70x = 30,950.10 × 16,939.80
  4. Step 4: Simplify right side
    20,657.70x = 524,288,503.98
  5. Step 5: Solve for x
    x = 524,288,503.98/20,657.70
  6. Step 6: Final answer
    x = 25,379.81

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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.