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Finding the Fourth Proportional to 2,273.78, 3,410.94 and 813.08

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Solution

The fourth proportional to 2,273.78, 3,410.94 and 813.08 is: 1,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.78 : 3,410.94 = 813.08 : x
  2. Step 2: Convert to fraction form
    2,273.78/3,410.94 = 813.08/x
  3. Step 3: Cross multiply
    2,273.78x = 3,410.94 × 813.08
  4. Step 4: Simplify right side
    2,273.78x = 2,773,367.10
  5. Step 5: Solve for x
    x = 2,773,367.10/2,273.78
  6. Step 6: Final answer
    x = 1,219.72

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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.