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Finding the Fourth Proportional to 13,663.88, 20,494.80 and 3,667.80

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Solution

The fourth proportional to 13,663.88, 20,494.80 and 3,667.80 is: 5,501.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.88 : 20,494.80 = 3,667.80 : x
  2. Step 2: Convert to fraction form
    13,663.88/20,494.80 = 3,667.80/x
  3. Step 3: Cross multiply
    13,663.88x = 20,494.80 × 3,667.80
  4. Step 4: Simplify right side
    13,663.88x = 75,170,827.44
  5. Step 5: Solve for x
    x = 75,170,827.44/13,663.88
  6. Step 6: Final answer
    x = 5,501.43

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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.