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Finding the Fourth Proportional to 2,568.30, 3,852.48 and 813.27

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Solution

The fourth proportional to 2,568.30, 3,852.48 and 813.27 is: 1,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.30 : 3,852.48 = 813.27 : x
  2. Step 2: Convert to fraction form
    2,568.30/3,852.48 = 813.27/x
  3. Step 3: Cross multiply
    2,568.30x = 3,852.48 × 813.27
  4. Step 4: Simplify right side
    2,568.30x = 3,133,106.78
  5. Step 5: Solve for x
    x = 3,133,106.78/2,568.30
  6. Step 6: Final answer
    x = 1,219.91

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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.