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Finding the Fourth Proportional to 5,256.50, 7,879.82 and 1,791.32

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Solution

The fourth proportional to 5,256.50, 7,879.82 and 1,791.32 is: 2,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.50 : 7,879.82 = 1,791.32 : x
  2. Step 2: Convert to fraction form
    5,256.50/7,879.82 = 1,791.32/x
  3. Step 3: Cross multiply
    5,256.50x = 7,879.82 × 1,791.32
  4. Step 4: Simplify right side
    5,256.50x = 14,115,230.81
  5. Step 5: Solve for x
    x = 14,115,230.81/5,256.50
  6. Step 6: Final answer
    x = 2,685.29

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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.