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Finding the Fourth Proportional to 3,256.90, 4,885.31 and 791.73

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Solution

The fourth proportional to 3,256.90, 4,885.31 and 791.73 is: 1,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.90 : 4,885.31 = 791.73 : x
  2. Step 2: Convert to fraction form
    3,256.90/4,885.31 = 791.73/x
  3. Step 3: Cross multiply
    3,256.90x = 4,885.31 × 791.73
  4. Step 4: Simplify right side
    3,256.90x = 3,867,848.47
  5. Step 5: Solve for x
    x = 3,867,848.47/3,256.90
  6. Step 6: Final answer
    x = 1,187.59

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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.