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Finding the Fourth Proportional to 3,481.71, 4,804.88 and 1,909.77

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Solution

The fourth proportional to 3,481.71, 4,804.88 and 1,909.77 is: 2,635.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.71 : 4,804.88 = 1,909.77 : x
  2. Step 2: Convert to fraction form
    3,481.71/4,804.88 = 1,909.77/x
  3. Step 3: Cross multiply
    3,481.71x = 4,804.88 × 1,909.77
  4. Step 4: Simplify right side
    3,481.71x = 9,176,206.13
  5. Step 5: Solve for x
    x = 9,176,206.13/3,481.71
  6. Step 6: Final answer
    x = 2,635.55

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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.