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Finding the Fourth Proportional to 2,788.34, 3,847.50 and 1,794.96

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Solution

The fourth proportional to 2,788.34, 3,847.50 and 1,794.96 is: 2,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.34 : 3,847.50 = 1,794.96 : x
  2. Step 2: Convert to fraction form
    2,788.34/3,847.50 = 1,794.96/x
  3. Step 3: Cross multiply
    2,788.34x = 3,847.50 × 1,794.96
  4. Step 4: Simplify right side
    2,788.34x = 6,906,115.09
  5. Step 5: Solve for x
    x = 6,906,115.09/2,788.34
  6. Step 6: Final answer
    x = 2,476.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.