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Finding the Fourth Proportional to 18,829, 28,206.74 and 8,954.68

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Solution

The fourth proportional to 18,829, 28,206.74 and 8,954.68 is: 13,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,829 : 28,206.74 = 8,954.68 : x
  2. Step 2: Convert to fraction form
    18,829/28,206.74 = 8,954.68/x
  3. Step 3: Cross multiply
    18,829x = 28,206.74 × 8,954.68
  4. Step 4: Simplify right side
    18,829x = 252,582,330.54
  5. Step 5: Solve for x
    x = 252,582,330.54/18,829
  6. Step 6: Final answer
    x = 13,414.54

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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.