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Finding the Fourth Proportional to 14,613.63, 20,166.80 and 8,326

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Solution

The fourth proportional to 14,613.63, 20,166.80 and 8,326 is: 11,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,613.63 : 20,166.80 = 8,326 : x
  2. Step 2: Convert to fraction form
    14,613.63/20,166.80 = 8,326/x
  3. Step 3: Cross multiply
    14,613.63x = 20,166.80 × 8,326
  4. Step 4: Simplify right side
    14,613.63x = 167,908,776.80
  5. Step 5: Solve for x
    x = 167,908,776.80/14,613.63
  6. Step 6: Final answer
    x = 11,489.87

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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.