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Finding the Fourth Proportional to 3,135.44, 4,703.64 and 827.12

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Solution

The fourth proportional to 3,135.44, 4,703.64 and 827.12 is: 1,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.44 : 4,703.64 = 827.12 : x
  2. Step 2: Convert to fraction form
    3,135.44/4,703.64 = 827.12/x
  3. Step 3: Cross multiply
    3,135.44x = 4,703.64 × 827.12
  4. Step 4: Simplify right side
    3,135.44x = 3,890,474.72
  5. Step 5: Solve for x
    x = 3,890,474.72/3,135.44
  6. Step 6: Final answer
    x = 1,240.81

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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.