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Finding the Fourth Proportional to 20,638.56, 30,971.22 and 7,489.80

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Solution

The fourth proportional to 20,638.56, 30,971.22 and 7,489.80 is: 11,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638.56 : 30,971.22 = 7,489.80 : x
  2. Step 2: Convert to fraction form
    20,638.56/30,971.22 = 7,489.80/x
  3. Step 3: Cross multiply
    20,638.56x = 30,971.22 × 7,489.80
  4. Step 4: Simplify right side
    20,638.56x = 231,968,243.56
  5. Step 5: Solve for x
    x = 231,968,243.56/20,638.56
  6. Step 6: Final answer
    x = 11,239.56

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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.