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Finding the Fourth Proportional to 13,542.97, 20,321.75 and 13,501.75

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Solution

The fourth proportional to 13,542.97, 20,321.75 and 13,501.75 is: 20,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.97 : 20,321.75 = 13,501.75 : x
  2. Step 2: Convert to fraction form
    13,542.97/20,321.75 = 13,501.75/x
  3. Step 3: Cross multiply
    13,542.97x = 20,321.75 × 13,501.75
  4. Step 4: Simplify right side
    13,542.97x = 274,379,120.55
  5. Step 5: Solve for x
    x = 274,379,120.55/13,542.97
  6. Step 6: Final answer
    x = 20,259.89

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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.