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Finding the Fourth Proportional to 13,405.85, 20,104.86 and 5,079.86

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Solution

The fourth proportional to 13,405.85, 20,104.86 and 5,079.86 is: 7,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.85 : 20,104.86 = 5,079.86 : x
  2. Step 2: Convert to fraction form
    13,405.85/20,104.86 = 5,079.86/x
  3. Step 3: Cross multiply
    13,405.85x = 20,104.86 × 5,079.86
  4. Step 4: Simplify right side
    13,405.85x = 102,129,839.46
  5. Step 5: Solve for x
    x = 102,129,839.46/13,405.85
  6. Step 6: Final answer
    x = 7,618.30

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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.