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Finding the Fourth Proportional to 13,713.76, 20,564.64 and 5,500

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Solution

The fourth proportional to 13,713.76, 20,564.64 and 5,500 is: 8,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.76 : 20,564.64 = 5,500 : x
  2. Step 2: Convert to fraction form
    13,713.76/20,564.64 = 5,500/x
  3. Step 3: Cross multiply
    13,713.76x = 20,564.64 × 5,500
  4. Step 4: Simplify right side
    13,713.76x = 113,105,520
  5. Step 5: Solve for x
    x = 113,105,520/13,713.76
  6. Step 6: Final answer
    x = 8,247.59

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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.