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Finding the Fourth Proportional to 2,278.76, 3,410.04 and 1,788.44

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Solution

The fourth proportional to 2,278.76, 3,410.04 and 1,788.44 is: 2,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.76 : 3,410.04 = 1,788.44 : x
  2. Step 2: Convert to fraction form
    2,278.76/3,410.04 = 1,788.44/x
  3. Step 3: Cross multiply
    2,278.76x = 3,410.04 × 1,788.44
  4. Step 4: Simplify right side
    2,278.76x = 6,098,651.94
  5. Step 5: Solve for x
    x = 6,098,651.94/2,278.76
  6. Step 6: Final answer
    x = 2,676.30

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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.