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Finding the Fourth Proportional to 13,883.70, 20,825.90 and 5,449.86

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Solution

The fourth proportional to 13,883.70, 20,825.90 and 5,449.86 is: 8,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.70 : 20,825.90 = 5,449.86 : x
  2. Step 2: Convert to fraction form
    13,883.70/20,825.90 = 5,449.86/x
  3. Step 3: Cross multiply
    13,883.70x = 20,825.90 × 5,449.86
  4. Step 4: Simplify right side
    13,883.70x = 113,498,239.37
  5. Step 5: Solve for x
    x = 113,498,239.37/13,883.70
  6. Step 6: Final answer
    x = 8,174.93

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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.