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Finding the Fourth Proportional to 20,502.48, 30,729.81 and 9,410.34

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Solution

The fourth proportional to 20,502.48, 30,729.81 and 9,410.34 is: 14,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.48 : 30,729.81 = 9,410.34 : x
  2. Step 2: Convert to fraction form
    20,502.48/30,729.81 = 9,410.34/x
  3. Step 3: Cross multiply
    20,502.48x = 30,729.81 × 9,410.34
  4. Step 4: Simplify right side
    20,502.48x = 289,177,960.24
  5. Step 5: Solve for x
    x = 289,177,960.24/20,502.48
  6. Step 6: Final answer
    x = 14,104.54

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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.