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Finding the Fourth Proportional to 5,405.80, 8,116.80 and 3,769.60

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Solution

The fourth proportional to 5,405.80, 8,116.80 and 3,769.60 is: 5,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.80 : 8,116.80 = 3,769.60 : x
  2. Step 2: Convert to fraction form
    5,405.80/8,116.80 = 3,769.60/x
  3. Step 3: Cross multiply
    5,405.80x = 8,116.80 × 3,769.60
  4. Step 4: Simplify right side
    5,405.80x = 30,597,089.28
  5. Step 5: Solve for x
    x = 30,597,089.28/5,405.80
  6. Step 6: Final answer
    x = 5,660.05

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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.