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Finding the Fourth Proportional to 2,273.87, 3,410.82 and 813.13

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Solution

The fourth proportional to 2,273.87, 3,410.82 and 813.13 is: 1,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.87 : 3,410.82 = 813.13 : x
  2. Step 2: Convert to fraction form
    2,273.87/3,410.82 = 813.13/x
  3. Step 3: Cross multiply
    2,273.87x = 3,410.82 × 813.13
  4. Step 4: Simplify right side
    2,273.87x = 2,773,431.54
  5. Step 5: Solve for x
    x = 2,773,431.54/2,273.87
  6. Step 6: Final answer
    x = 1,219.70

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1.5x scale

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.