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Finding the Fourth Proportional to 3,217.28, 4,824.80 and 908.24

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Solution

The fourth proportional to 3,217.28, 4,824.80 and 908.24 is: 1,362.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.28 : 4,824.80 = 908.24 : x
  2. Step 2: Convert to fraction form
    3,217.28/4,824.80 = 908.24/x
  3. Step 3: Cross multiply
    3,217.28x = 4,824.80 × 908.24
  4. Step 4: Simplify right side
    3,217.28x = 4,382,076.35
  5. Step 5: Solve for x
    x = 4,382,076.35/3,217.28
  6. Step 6: Final answer
    x = 1,362.04

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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.