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Finding the Fourth Proportional to 13,504, 20,265.60 and 5,296

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Solution

The fourth proportional to 13,504, 20,265.60 and 5,296 is: 7,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504 : 20,265.60 = 5,296 : x
  2. Step 2: Convert to fraction form
    13,504/20,265.60 = 5,296/x
  3. Step 3: Cross multiply
    13,504x = 20,265.60 × 5,296
  4. Step 4: Simplify right side
    13,504x = 107,326,617.60
  5. Step 5: Solve for x
    x = 107,326,617.60/13,504
  6. Step 6: Final answer
    x = 7,947.76

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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.