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Finding the Fourth Proportional to 20,998.70, 30,234.24 and 20,998.70

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Solution

The fourth proportional to 20,998.70, 30,234.24 and 20,998.70 is: 30,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.70 : 30,234.24 = 20,998.70 : x
  2. Step 2: Convert to fraction form
    20,998.70/30,234.24 = 20,998.70/x
  3. Step 3: Cross multiply
    20,998.70x = 30,234.24 × 20,998.70
  4. Step 4: Simplify right side
    20,998.70x = 634,879,735.49
  5. Step 5: Solve for x
    x = 634,879,735.49/20,998.70
  6. Step 6: Final answer
    x = 30,234.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.