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Finding the Fourth Proportional to 2,771.31, 4,156.95 and 797.13

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Solution

The fourth proportional to 2,771.31, 4,156.95 and 797.13 is: 1,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.31 : 4,156.95 = 797.13 : x
  2. Step 2: Convert to fraction form
    2,771.31/4,156.95 = 797.13/x
  3. Step 3: Cross multiply
    2,771.31x = 4,156.95 × 797.13
  4. Step 4: Simplify right side
    2,771.31x = 3,313,629.55
  5. Step 5: Solve for x
    x = 3,313,629.55/2,771.31
  6. Step 6: Final answer
    x = 1,195.69

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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.