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Finding the Fourth Proportional to 2,568.48, 3,852.72 and 813.39

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Solution

The fourth proportional to 2,568.48, 3,852.72 and 813.39 is: 1,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.48 : 3,852.72 = 813.39 : x
  2. Step 2: Convert to fraction form
    2,568.48/3,852.72 = 813.39/x
  3. Step 3: Cross multiply
    2,568.48x = 3,852.72 × 813.39
  4. Step 4: Simplify right side
    2,568.48x = 3,133,763.92
  5. Step 5: Solve for x
    x = 3,133,763.92/2,568.48
  6. Step 6: Final answer
    x = 1,220.09

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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.