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Finding the Fourth Proportional to 5,361.09, 8,054 and 5,139.66

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Solution

The fourth proportional to 5,361.09, 8,054 and 5,139.66 is: 7,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.09 : 8,054 = 5,139.66 : x
  2. Step 2: Convert to fraction form
    5,361.09/8,054 = 5,139.66/x
  3. Step 3: Cross multiply
    5,361.09x = 8,054 × 5,139.66
  4. Step 4: Simplify right side
    5,361.09x = 41,394,821.64
  5. Step 5: Solve for x
    x = 41,394,821.64/5,361.09
  6. Step 6: Final answer
    x = 7,721.34

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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.