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Finding the Fourth Proportional to 5,761, 7,951.62 and 3,278.44

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Solution

The fourth proportional to 5,761, 7,951.62 and 3,278.44 is: 4,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761 : 7,951.62 = 3,278.44 : x
  2. Step 2: Convert to fraction form
    5,761/7,951.62 = 3,278.44/x
  3. Step 3: Cross multiply
    5,761x = 7,951.62 × 3,278.44
  4. Step 4: Simplify right side
    5,761x = 26,068,909.07
  5. Step 5: Solve for x
    x = 26,068,909.07/5,761
  6. Step 6: Final answer
    x = 4,525.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.