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Finding the Fourth Proportional to 2,568.78, 3,853.36 and 813.92

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Solution

The fourth proportional to 2,568.78, 3,853.36 and 813.92 is: 1,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.78 : 3,853.36 = 813.92 : x
  2. Step 2: Convert to fraction form
    2,568.78/3,853.36 = 813.92/x
  3. Step 3: Cross multiply
    2,568.78x = 3,853.36 × 813.92
  4. Step 4: Simplify right side
    2,568.78x = 3,136,303.94
  5. Step 5: Solve for x
    x = 3,136,303.94/2,568.78
  6. Step 6: Final answer
    x = 1,220.93

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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.