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Finding the Fourth Proportional to 13,198.94, 18,214.53 and 7,609.94

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Solution

The fourth proportional to 13,198.94, 18,214.53 and 7,609.94 is: 10,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.94 : 18,214.53 = 7,609.94 : x
  2. Step 2: Convert to fraction form
    13,198.94/18,214.53 = 7,609.94/x
  3. Step 3: Cross multiply
    13,198.94x = 18,214.53 × 7,609.94
  4. Step 4: Simplify right side
    13,198.94x = 138,611,480.43
  5. Step 5: Solve for x
    x = 138,611,480.43/13,198.94
  6. Step 6: Final answer
    x = 10,501.71

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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.