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Finding the Fourth Proportional to 3,481.29, 4,804.29 and 1,909.53

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Solution

The fourth proportional to 3,481.29, 4,804.29 and 1,909.53 is: 2,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.29 : 4,804.29 = 1,909.53 : x
  2. Step 2: Convert to fraction form
    3,481.29/4,804.29 = 1,909.53/x
  3. Step 3: Cross multiply
    3,481.29x = 4,804.29 × 1,909.53
  4. Step 4: Simplify right side
    3,481.29x = 9,173,935.88
  5. Step 5: Solve for x
    x = 9,173,935.88/3,481.29
  6. Step 6: Final answer
    x = 2,635.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.