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Finding the Fourth Proportional to 3,289.43, 4,934.03 and 824.27

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Solution

The fourth proportional to 3,289.43, 4,934.03 and 824.27 is: 1,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.43 : 4,934.03 = 824.27 : x
  2. Step 2: Convert to fraction form
    3,289.43/4,934.03 = 824.27/x
  3. Step 3: Cross multiply
    3,289.43x = 4,934.03 × 824.27
  4. Step 4: Simplify right side
    3,289.43x = 4,066,972.91
  5. Step 5: Solve for x
    x = 4,066,972.91/3,289.43
  6. Step 6: Final answer
    x = 1,236.38

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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.