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Finding the Fourth Proportional to 20,489, 30,734.22 and 11,719.88

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Solution

The fourth proportional to 20,489, 30,734.22 and 11,719.88 is: 17,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489 : 30,734.22 = 11,719.88 : x
  2. Step 2: Convert to fraction form
    20,489/30,734.22 = 11,719.88/x
  3. Step 3: Cross multiply
    20,489x = 30,734.22 × 11,719.88
  4. Step 4: Simplify right side
    20,489x = 360,201,370.29
  5. Step 5: Solve for x
    x = 360,201,370.29/20,489
  6. Step 6: Final answer
    x = 17,580.23

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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.