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Finding the Fourth Proportional to 3,924.76, 5,393.11 and 3,137.44

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Solution

The fourth proportional to 3,924.76, 5,393.11 and 3,137.44 is: 4,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.76 : 5,393.11 = 3,137.44 : x
  2. Step 2: Convert to fraction form
    3,924.76/5,393.11 = 3,137.44/x
  3. Step 3: Cross multiply
    3,924.76x = 5,393.11 × 3,137.44
  4. Step 4: Simplify right side
    3,924.76x = 16,920,559.04
  5. Step 5: Solve for x
    x = 16,920,559.04/3,924.76
  6. Step 6: Final answer
    x = 4,311.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.