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Finding the Fourth Proportional to 5,361.76, 8,039.69 and 1,662.96

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Solution

The fourth proportional to 5,361.76, 8,039.69 and 1,662.96 is: 2,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.76 : 8,039.69 = 1,662.96 : x
  2. Step 2: Convert to fraction form
    5,361.76/8,039.69 = 1,662.96/x
  3. Step 3: Cross multiply
    5,361.76x = 8,039.69 × 1,662.96
  4. Step 4: Simplify right side
    5,361.76x = 13,369,682.88
  5. Step 5: Solve for x
    x = 13,369,682.88/5,361.76
  6. Step 6: Final answer
    x = 2,493.53

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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.