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Finding the Fourth Proportional to 13,717, 20,575.50 and 5,509

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Solution

The fourth proportional to 13,717, 20,575.50 and 5,509 is: 8,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717 : 20,575.50 = 5,509 : x
  2. Step 2: Convert to fraction form
    13,717/20,575.50 = 5,509/x
  3. Step 3: Cross multiply
    13,717x = 20,575.50 × 5,509
  4. Step 4: Simplify right side
    13,717x = 113,350,429.50
  5. Step 5: Solve for x
    x = 113,350,429.50/13,717
  6. Step 6: Final answer
    x = 8,263.50

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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.