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Finding the Fourth Proportional to 13,186.96, 18,198 and 7,218.63

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Solution

The fourth proportional to 13,186.96, 18,198 and 7,218.63 is: 9,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.96 : 18,198 = 7,218.63 : x
  2. Step 2: Convert to fraction form
    13,186.96/18,198 = 7,218.63/x
  3. Step 3: Cross multiply
    13,186.96x = 18,198 × 7,218.63
  4. Step 4: Simplify right side
    13,186.96x = 131,364,628.74
  5. Step 5: Solve for x
    x = 131,364,628.74/13,186.96
  6. Step 6: Final answer
    x = 9,961.71

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Double scale
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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.