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Finding the Fourth Proportional to 3,367.60, 5,051.40 and 2,069.80

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Solution

The fourth proportional to 3,367.60, 5,051.40 and 2,069.80 is: 3,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.60 : 5,051.40 = 2,069.80 : x
  2. Step 2: Convert to fraction form
    3,367.60/5,051.40 = 2,069.80/x
  3. Step 3: Cross multiply
    3,367.60x = 5,051.40 × 2,069.80
  4. Step 4: Simplify right side
    3,367.60x = 10,455,387.72
  5. Step 5: Solve for x
    x = 10,455,387.72/3,367.60
  6. Step 6: Final answer
    x = 3,104.70

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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.