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Finding the Fourth Proportional to 13,155, 18,162 and 8,447.58

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Solution

The fourth proportional to 13,155, 18,162 and 8,447.58 is: 11,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,155 : 18,162 = 8,447.58 : x
  2. Step 2: Convert to fraction form
    13,155/18,162 = 8,447.58/x
  3. Step 3: Cross multiply
    13,155x = 18,162 × 8,447.58
  4. Step 4: Simplify right side
    13,155x = 153,424,947.96
  5. Step 5: Solve for x
    x = 153,424,947.96/13,155
  6. Step 6: Final answer
    x = 11,662.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.