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Finding the Fourth Proportional to 2,747.90, 4,121.40 and 773.66

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Solution

The fourth proportional to 2,747.90, 4,121.40 and 773.66 is: 1,160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.90 : 4,121.40 = 773.66 : x
  2. Step 2: Convert to fraction form
    2,747.90/4,121.40 = 773.66/x
  3. Step 3: Cross multiply
    2,747.90x = 4,121.40 × 773.66
  4. Step 4: Simplify right side
    2,747.90x = 3,188,562.32
  5. Step 5: Solve for x
    x = 3,188,562.32/2,747.90
  6. Step 6: Final answer
    x = 1,160.36

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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.