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Finding the Fourth Proportional to 8,494.32, 12,742.96 and 2,649.44

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Solution

The fourth proportional to 8,494.32, 12,742.96 and 2,649.44 is: 3,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.32 : 12,742.96 = 2,649.44 : x
  2. Step 2: Convert to fraction form
    8,494.32/12,742.96 = 2,649.44/x
  3. Step 3: Cross multiply
    8,494.32x = 12,742.96 × 2,649.44
  4. Step 4: Simplify right side
    8,494.32x = 33,761,707.94
  5. Step 5: Solve for x
    x = 33,761,707.94/8,494.32
  6. Step 6: Final answer
    x = 3,974.62

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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.