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Finding the Fourth Proportional to 5,278.27, 7,913.49 and 3,197.77

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Solution

The fourth proportional to 5,278.27, 7,913.49 and 3,197.77 is: 4,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.27 : 7,913.49 = 3,197.77 : x
  2. Step 2: Convert to fraction form
    5,278.27/7,913.49 = 3,197.77/x
  3. Step 3: Cross multiply
    5,278.27x = 7,913.49 × 3,197.77
  4. Step 4: Simplify right side
    5,278.27x = 25,305,520.92
  5. Step 5: Solve for x
    x = 25,305,520.92/5,278.27
  6. Step 6: Final answer
    x = 4,794.28

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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.