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Finding the Fourth Proportional to 13,602.73, 20,404.06 and 7,676.93

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Solution

The fourth proportional to 13,602.73, 20,404.06 and 7,676.93 is: 11,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.73 : 20,404.06 = 7,676.93 : x
  2. Step 2: Convert to fraction form
    13,602.73/20,404.06 = 7,676.93/x
  3. Step 3: Cross multiply
    13,602.73x = 20,404.06 × 7,676.93
  4. Step 4: Simplify right side
    13,602.73x = 156,640,399.93
  5. Step 5: Solve for x
    x = 156,640,399.93/13,602.73
  6. Step 6: Final answer
    x = 11,515.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.