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Finding the Fourth Proportional to 3,269.25, 4,903.92 and 1,811.25

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Solution

The fourth proportional to 3,269.25, 4,903.92 and 1,811.25 is: 2,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.25 : 4,903.92 = 1,811.25 : x
  2. Step 2: Convert to fraction form
    3,269.25/4,903.92 = 1,811.25/x
  3. Step 3: Cross multiply
    3,269.25x = 4,903.92 × 1,811.25
  4. Step 4: Simplify right side
    3,269.25x = 8,882,225.10
  5. Step 5: Solve for x
    x = 8,882,225.10/3,269.25
  6. Step 6: Final answer
    x = 2,716.90

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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.