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Finding the Fourth Proportional to 20,043.76, 30,072.54 and 8,958.10

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Solution

The fourth proportional to 20,043.76, 30,072.54 and 8,958.10 is: 13,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043.76 : 30,072.54 = 8,958.10 : x
  2. Step 2: Convert to fraction form
    20,043.76/30,072.54 = 8,958.10/x
  3. Step 3: Cross multiply
    20,043.76x = 30,072.54 × 8,958.10
  4. Step 4: Simplify right side
    20,043.76x = 269,392,820.57
  5. Step 5: Solve for x
    x = 269,392,820.57/20,043.76
  6. Step 6: Final answer
    x = 13,440.23

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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.