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Finding the Fourth Proportional to 2,816.29, 4,224.42 and 764.29

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Solution

The fourth proportional to 2,816.29, 4,224.42 and 764.29 is: 1,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.29 : 4,224.42 = 764.29 : x
  2. Step 2: Convert to fraction form
    2,816.29/4,224.42 = 764.29/x
  3. Step 3: Cross multiply
    2,816.29x = 4,224.42 × 764.29
  4. Step 4: Simplify right side
    2,816.29x = 3,228,660.84
  5. Step 5: Solve for x
    x = 3,228,660.84/2,816.29
  6. Step 6: Final answer
    x = 1,146.43

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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.