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Finding the Fourth Proportional to 20,474.64, 30,693.74 and 7,991.73

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Solution

The fourth proportional to 20,474.64, 30,693.74 and 7,991.73 is: 11,980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.64 : 30,693.74 = 7,991.73 : x
  2. Step 2: Convert to fraction form
    20,474.64/30,693.74 = 7,991.73/x
  3. Step 3: Cross multiply
    20,474.64x = 30,693.74 × 7,991.73
  4. Step 4: Simplify right side
    20,474.64x = 245,296,042.81
  5. Step 5: Solve for x
    x = 245,296,042.81/20,474.64
  6. Step 6: Final answer
    x = 11,980.48

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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.