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Finding the Fourth Proportional to 13,162, 18,171.84 and 8,454.48

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Solution

The fourth proportional to 13,162, 18,171.84 and 8,454.48 is: 11,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162 : 18,171.84 = 8,454.48 : x
  2. Step 2: Convert to fraction form
    13,162/18,171.84 = 8,454.48/x
  3. Step 3: Cross multiply
    13,162x = 18,171.84 × 8,454.48
  4. Step 4: Simplify right side
    13,162x = 153,633,457.84
  5. Step 5: Solve for x
    x = 153,633,457.84/13,162
  6. Step 6: Final answer
    x = 11,672.50

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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.