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Finding the Fourth Proportional to 2,765.99, 4,148.13 and 791.48

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Solution

The fourth proportional to 2,765.99, 4,148.13 and 791.48 is: 1,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.99 : 4,148.13 = 791.48 : x
  2. Step 2: Convert to fraction form
    2,765.99/4,148.13 = 791.48/x
  3. Step 3: Cross multiply
    2,765.99x = 4,148.13 × 791.48
  4. Step 4: Simplify right side
    2,765.99x = 3,283,141.19
  5. Step 5: Solve for x
    x = 3,283,141.19/2,765.99
  6. Step 6: Final answer
    x = 1,186.97

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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.