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Finding the Fourth Proportional to 13,676.82, 18,871.92 and 7,708.38

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Solution

The fourth proportional to 13,676.82, 18,871.92 and 7,708.38 is: 10,636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.82 : 18,871.92 = 7,708.38 : x
  2. Step 2: Convert to fraction form
    13,676.82/18,871.92 = 7,708.38/x
  3. Step 3: Cross multiply
    13,676.82x = 18,871.92 × 7,708.38
  4. Step 4: Simplify right side
    13,676.82x = 145,471,930.69
  5. Step 5: Solve for x
    x = 145,471,930.69/13,676.82
  6. Step 6: Final answer
    x = 10,636.39

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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.