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Finding the Fourth Proportional to 18,906.74, 28,357.94 and 5,056.82

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Solution

The fourth proportional to 18,906.74, 28,357.94 and 5,056.82 is: 7,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,906.74 : 28,357.94 = 5,056.82 : x
  2. Step 2: Convert to fraction form
    18,906.74/28,357.94 = 5,056.82/x
  3. Step 3: Cross multiply
    18,906.74x = 28,357.94 × 5,056.82
  4. Step 4: Simplify right side
    18,906.74x = 143,400,998.15
  5. Step 5: Solve for x
    x = 143,400,998.15/18,906.74
  6. Step 6: Final answer
    x = 7,584.65

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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.