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Finding the Fourth Proportional to 13,189, 18,200.82 and 7,600

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Solution

The fourth proportional to 13,189, 18,200.82 and 7,600 is: 10,488

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189 : 18,200.82 = 7,600 : x
  2. Step 2: Convert to fraction form
    13,189/18,200.82 = 7,600/x
  3. Step 3: Cross multiply
    13,189x = 18,200.82 × 7,600
  4. Step 4: Simplify right side
    13,189x = 138,326,232
  5. Step 5: Solve for x
    x = 138,326,232/13,189
  6. Step 6: Final answer
    x = 10,488

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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.