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Finding the Fourth Proportional to 3,199.44, 4,813.80 and 1,901.88

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Solution

The fourth proportional to 3,199.44, 4,813.80 and 1,901.88 is: 2,861.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.44 : 4,813.80 = 1,901.88 : x
  2. Step 2: Convert to fraction form
    3,199.44/4,813.80 = 1,901.88/x
  3. Step 3: Cross multiply
    3,199.44x = 4,813.80 × 1,901.88
  4. Step 4: Simplify right side
    3,199.44x = 9,155,269.94
  5. Step 5: Solve for x
    x = 9,155,269.94/3,199.44
  6. Step 6: Final answer
    x = 2,861.52

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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.