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Finding the Fourth Proportional to 3,269.69, 4,906.69 and 1,538.45

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Solution

The fourth proportional to 3,269.69, 4,906.69 and 1,538.45 is: 2,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.69 : 4,906.69 = 1,538.45 : x
  2. Step 2: Convert to fraction form
    3,269.69/4,906.69 = 1,538.45/x
  3. Step 3: Cross multiply
    3,269.69x = 4,906.69 × 1,538.45
  4. Step 4: Simplify right side
    3,269.69x = 7,548,697.23
  5. Step 5: Solve for x
    x = 7,548,697.23/3,269.69
  6. Step 6: Final answer
    x = 2,308.69

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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.