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Finding the Fourth Proportional to 2,766.17, 4,148.42 and 791.67

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Solution

The fourth proportional to 2,766.17, 4,148.42 and 791.67 is: 1,187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.17 : 4,148.42 = 791.67 : x
  2. Step 2: Convert to fraction form
    2,766.17/4,148.42 = 791.67/x
  3. Step 3: Cross multiply
    2,766.17x = 4,148.42 × 791.67
  4. Step 4: Simplify right side
    2,766.17x = 3,284,191.26
  5. Step 5: Solve for x
    x = 3,284,191.26/2,766.17
  6. Step 6: Final answer
    x = 1,187.27

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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.