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Finding the Fourth Proportional to 5,577.63, 7,696.84 and 3,219.63

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Solution

The fourth proportional to 5,577.63, 7,696.84 and 3,219.63 is: 4,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.63 : 7,696.84 = 3,219.63 : x
  2. Step 2: Convert to fraction form
    5,577.63/7,696.84 = 3,219.63/x
  3. Step 3: Cross multiply
    5,577.63x = 7,696.84 × 3,219.63
  4. Step 4: Simplify right side
    5,577.63x = 24,780,976.97
  5. Step 5: Solve for x
    x = 24,780,976.97/5,577.63
  6. Step 6: Final answer
    x = 4,442.92

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