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Finding the Fourth Proportional to 3,348.90, 5,022.86 and 1,269.90

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Solution

The fourth proportional to 3,348.90, 5,022.86 and 1,269.90 is: 1,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.90 : 5,022.86 = 1,269.90 : x
  2. Step 2: Convert to fraction form
    3,348.90/5,022.86 = 1,269.90/x
  3. Step 3: Cross multiply
    3,348.90x = 5,022.86 × 1,269.90
  4. Step 4: Simplify right side
    3,348.90x = 6,378,523.56
  5. Step 5: Solve for x
    x = 6,378,523.56/3,348.90
  6. Step 6: Final answer
    x = 1,904.66

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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.