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Finding the Fourth Proportional to 5,221.28, 7,826.64 and 3,274.84

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Solution

The fourth proportional to 5,221.28, 7,826.64 and 3,274.84 is: 4,908.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.28 : 7,826.64 = 3,274.84 : x
  2. Step 2: Convert to fraction form
    5,221.28/7,826.64 = 3,274.84/x
  3. Step 3: Cross multiply
    5,221.28x = 7,826.64 × 3,274.84
  4. Step 4: Simplify right side
    5,221.28x = 25,630,993.74
  5. Step 5: Solve for x
    x = 25,630,993.74/5,221.28
  6. Step 6: Final answer
    x = 4,908.95

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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.