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Finding the Fourth Proportional to 2,793.78, 4,190.64 and 741.78

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Solution

The fourth proportional to 2,793.78, 4,190.64 and 741.78 is: 1,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.78 : 4,190.64 = 741.78 : x
  2. Step 2: Convert to fraction form
    2,793.78/4,190.64 = 741.78/x
  3. Step 3: Cross multiply
    2,793.78x = 4,190.64 × 741.78
  4. Step 4: Simplify right side
    2,793.78x = 3,108,532.94
  5. Step 5: Solve for x
    x = 3,108,532.94/2,793.78
  6. Step 6: Final answer
    x = 1,112.66

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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.