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Finding the Fourth Proportional to 13,176, 18,182.88 and 8,208

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Solution

The fourth proportional to 13,176, 18,182.88 and 8,208 is: 11,327.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176 : 18,182.88 = 8,208 : x
  2. Step 2: Convert to fraction form
    13,176/18,182.88 = 8,208/x
  3. Step 3: Cross multiply
    13,176x = 18,182.88 × 8,208
  4. Step 4: Simplify right side
    13,176x = 149,245,079.04
  5. Step 5: Solve for x
    x = 149,245,079.04/13,176
  6. Step 6: Final answer
    x = 11,327.04

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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.