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Finding the Fourth Proportional to 13,405.80, 20,107.80 and 3,544.86

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Solution

The fourth proportional to 13,405.80, 20,107.80 and 3,544.86 is: 5,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.80 : 20,107.80 = 3,544.86 : x
  2. Step 2: Convert to fraction form
    13,405.80/20,107.80 = 3,544.86/x
  3. Step 3: Cross multiply
    13,405.80x = 20,107.80 × 3,544.86
  4. Step 4: Simplify right side
    13,405.80x = 71,279,335.91
  5. Step 5: Solve for x
    x = 71,279,335.91/13,405.80
  6. Step 6: Final answer
    x = 5,317.05

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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.