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Finding the Fourth Proportional to 3,481.69, 4,804.74 and 1,909.79

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Solution

The fourth proportional to 3,481.69, 4,804.74 and 1,909.79 is: 2,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.69 : 4,804.74 = 1,909.79 : x
  2. Step 2: Convert to fraction form
    3,481.69/4,804.74 = 1,909.79/x
  3. Step 3: Cross multiply
    3,481.69x = 4,804.74 × 1,909.79
  4. Step 4: Simplify right side
    3,481.69x = 9,176,056.42
  5. Step 5: Solve for x
    x = 9,176,056.42/3,481.69
  6. Step 6: Final answer
    x = 2,635.52

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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.