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Finding the Fourth Proportional to 7,714.47, 11,571.30 and 2,167.32

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Solution

The fourth proportional to 7,714.47, 11,571.30 and 2,167.32 is: 3,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.47 : 11,571.30 = 2,167.32 : x
  2. Step 2: Convert to fraction form
    7,714.47/11,571.30 = 2,167.32/x
  3. Step 3: Cross multiply
    7,714.47x = 11,571.30 × 2,167.32
  4. Step 4: Simplify right side
    7,714.47x = 25,078,709.92
  5. Step 5: Solve for x
    x = 25,078,709.92/7,714.47
  6. Step 6: Final answer
    x = 3,250.87

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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.