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Finding the Fourth Proportional to 3,256.95, 4,885.41 and 791.78

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Solution

The fourth proportional to 3,256.95, 4,885.41 and 791.78 is: 1,187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.95 : 4,885.41 = 791.78 : x
  2. Step 2: Convert to fraction form
    3,256.95/4,885.41 = 791.78/x
  3. Step 3: Cross multiply
    3,256.95x = 4,885.41 × 791.78
  4. Step 4: Simplify right side
    3,256.95x = 3,868,169.93
  5. Step 5: Solve for x
    x = 3,868,169.93/3,256.95
  6. Step 6: Final answer
    x = 1,187.67

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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.