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Finding the Fourth Proportional to 1,797.20, 2,691.96 and 1,210.96

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Solution

The fourth proportional to 1,797.20, 2,691.96 and 1,210.96 is: 1,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.20 : 2,691.96 = 1,210.96 : x
  2. Step 2: Convert to fraction form
    1,797.20/2,691.96 = 1,210.96/x
  3. Step 3: Cross multiply
    1,797.20x = 2,691.96 × 1,210.96
  4. Step 4: Simplify right side
    1,797.20x = 3,259,855.88
  5. Step 5: Solve for x
    x = 3,259,855.88/1,797.20
  6. Step 6: Final answer
    x = 1,813.85

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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.