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Finding the Fourth Proportional to 7,762.82, 11,644.32 and 2,568.68

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Solution

The fourth proportional to 7,762.82, 11,644.32 and 2,568.68 is: 3,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.82 : 11,644.32 = 2,568.68 : x
  2. Step 2: Convert to fraction form
    7,762.82/11,644.32 = 2,568.68/x
  3. Step 3: Cross multiply
    7,762.82x = 11,644.32 × 2,568.68
  4. Step 4: Simplify right side
    7,762.82x = 29,910,531.90
  5. Step 5: Solve for x
    x = 29,910,531.90/7,762.82
  6. Step 6: Final answer
    x = 3,853.05

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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.