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Finding the Fourth Proportional to 8,649.96, 12,961.72 and 4,491.33

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Solution

The fourth proportional to 8,649.96, 12,961.72 and 4,491.33 is: 6,730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.96 : 12,961.72 = 4,491.33 : x
  2. Step 2: Convert to fraction form
    8,649.96/12,961.72 = 4,491.33/x
  3. Step 3: Cross multiply
    8,649.96x = 12,961.72 × 4,491.33
  4. Step 4: Simplify right side
    8,649.96x = 58,215,361.89
  5. Step 5: Solve for x
    x = 58,215,361.89/8,649.96
  6. Step 6: Final answer
    x = 6,730.13

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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.