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Finding the Fourth Proportional to 7,758.91, 11,638.91 and 2,568.43

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Solution

The fourth proportional to 7,758.91, 11,638.91 and 2,568.43 is: 3,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.91 : 11,638.91 = 2,568.43 : x
  2. Step 2: Convert to fraction form
    7,758.91/11,638.91 = 2,568.43/x
  3. Step 3: Cross multiply
    7,758.91x = 11,638.91 × 2,568.43
  4. Step 4: Simplify right side
    7,758.91x = 29,893,725.61
  5. Step 5: Solve for x
    x = 29,893,725.61/7,758.91
  6. Step 6: Final answer
    x = 3,852.83

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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.