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Finding the Fourth Proportional to 13,668.33, 18,861.34 and 8,078.25

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Solution

The fourth proportional to 13,668.33, 18,861.34 and 8,078.25 is: 11,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668.33 : 18,861.34 = 8,078.25 : x
  2. Step 2: Convert to fraction form
    13,668.33/18,861.34 = 8,078.25/x
  3. Step 3: Cross multiply
    13,668.33x = 18,861.34 × 8,078.25
  4. Step 4: Simplify right side
    13,668.33x = 152,366,619.86
  5. Step 5: Solve for x
    x = 152,366,619.86/13,668.33
  6. Step 6: Final answer
    x = 11,147.42

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1.5x scale

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.