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Finding the Fourth Proportional to 13,189.64, 18,194.10 and 8,213

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Solution

The fourth proportional to 13,189.64, 18,194.10 and 8,213 is: 11,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.64 : 18,194.10 = 8,213 : x
  2. Step 2: Convert to fraction form
    13,189.64/18,194.10 = 8,213/x
  3. Step 3: Cross multiply
    13,189.64x = 18,194.10 × 8,213
  4. Step 4: Simplify right side
    13,189.64x = 149,428,143.30
  5. Step 5: Solve for x
    x = 149,428,143.30/13,189.64
  6. Step 6: Final answer
    x = 11,329.21

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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.