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Finding the Fourth Proportional to 20,497.74, 30,755.77 and 9,961.98

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Solution

The fourth proportional to 20,497.74, 30,755.77 and 9,961.98 is: 14,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.74 : 30,755.77 = 9,961.98 : x
  2. Step 2: Convert to fraction form
    20,497.74/30,755.77 = 9,961.98/x
  3. Step 3: Cross multiply
    20,497.74x = 30,755.77 × 9,961.98
  4. Step 4: Simplify right side
    20,497.74x = 306,388,365.62
  5. Step 5: Solve for x
    x = 306,388,365.62/20,497.74
  6. Step 6: Final answer
    x = 14,947.42

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1.5x scale

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.