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Finding the Fourth Proportional to 3,257.90, 4,886.81 and 792.73

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Solution

The fourth proportional to 3,257.90, 4,886.81 and 792.73 is: 1,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.90 : 4,886.81 = 792.73 : x
  2. Step 2: Convert to fraction form
    3,257.90/4,886.81 = 792.73/x
  3. Step 3: Cross multiply
    3,257.90x = 4,886.81 × 792.73
  4. Step 4: Simplify right side
    3,257.90x = 3,873,920.89
  5. Step 5: Solve for x
    x = 3,873,920.89/3,257.90
  6. Step 6: Final answer
    x = 1,189.09

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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.