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Finding the Fourth Proportional to 18,435, 27,648.38 and 8,947.02

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Solution

The fourth proportional to 18,435, 27,648.38 and 8,947.02 is: 13,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,435 : 27,648.38 = 8,947.02 : x
  2. Step 2: Convert to fraction form
    18,435/27,648.38 = 8,947.02/x
  3. Step 3: Cross multiply
    18,435x = 27,648.38 × 8,947.02
  4. Step 4: Simplify right side
    18,435x = 247,370,608.83
  5. Step 5: Solve for x
    x = 247,370,608.83/18,435
  6. Step 6: Final answer
    x = 13,418.53

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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.