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Finding the Fourth Proportional to 5,361.86, 8,039.73 and 1,663.04

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Solution

The fourth proportional to 5,361.86, 8,039.73 and 1,663.04 is: 2,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.86 : 8,039.73 = 1,663.04 : x
  2. Step 2: Convert to fraction form
    5,361.86/8,039.73 = 1,663.04/x
  3. Step 3: Cross multiply
    5,361.86x = 8,039.73 × 1,663.04
  4. Step 4: Simplify right side
    5,361.86x = 13,370,392.58
  5. Step 5: Solve for x
    x = 13,370,392.58/5,361.86
  6. Step 6: Final answer
    x = 2,493.61

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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.