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Finding the Fourth Proportional to 3,135.76, 4,703.16 and 827.44

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Solution

The fourth proportional to 3,135.76, 4,703.16 and 827.44 is: 1,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.76 : 4,703.16 = 827.44 : x
  2. Step 2: Convert to fraction form
    3,135.76/4,703.16 = 827.44/x
  3. Step 3: Cross multiply
    3,135.76x = 4,703.16 × 827.44
  4. Step 4: Simplify right side
    3,135.76x = 3,891,582.71
  5. Step 5: Solve for x
    x = 3,891,582.71/3,135.76
  6. Step 6: Final answer
    x = 1,241.03

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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.