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Finding the Fourth Proportional to 18,686, 28,033.44 and 6,374

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Solution

The fourth proportional to 18,686, 28,033.44 and 6,374 is: 9,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,686 : 28,033.44 = 6,374 : x
  2. Step 2: Convert to fraction form
    18,686/28,033.44 = 6,374/x
  3. Step 3: Cross multiply
    18,686x = 28,033.44 × 6,374
  4. Step 4: Simplify right side
    18,686x = 178,685,146.56
  5. Step 5: Solve for x
    x = 178,685,146.56/18,686
  6. Step 6: Final answer
    x = 9,562.51

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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.