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Finding the Fourth Proportional to 20,474.19, 30,709.83 and 7,991.88

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Solution

The fourth proportional to 20,474.19, 30,709.83 and 7,991.88 is: 11,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.19 : 30,709.83 = 7,991.88 : x
  2. Step 2: Convert to fraction form
    20,474.19/30,709.83 = 7,991.88/x
  3. Step 3: Cross multiply
    20,474.19x = 30,709.83 × 7,991.88
  4. Step 4: Simplify right side
    20,474.19x = 245,429,276.18
  5. Step 5: Solve for x
    x = 245,429,276.18/20,474.19
  6. Step 6: Final answer
    x = 11,987.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.