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Finding the Fourth Proportional to 3,609.60, 5,414.40 and 3,269.40

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Solution

The fourth proportional to 3,609.60, 5,414.40 and 3,269.40 is: 4,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.60 : 5,414.40 = 3,269.40 : x
  2. Step 2: Convert to fraction form
    3,609.60/5,414.40 = 3,269.40/x
  3. Step 3: Cross multiply
    3,609.60x = 5,414.40 × 3,269.40
  4. Step 4: Simplify right side
    3,609.60x = 17,701,839.36
  5. Step 5: Solve for x
    x = 17,701,839.36/3,609.60
  6. Step 6: Final answer
    x = 4,904.10

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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.