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Finding the Fourth Proportional to 5,539.82, 7,644.80 and 3,021.92

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Solution

The fourth proportional to 5,539.82, 7,644.80 and 3,021.92 is: 4,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.82 : 7,644.80 = 3,021.92 : x
  2. Step 2: Convert to fraction form
    5,539.82/7,644.80 = 3,021.92/x
  3. Step 3: Cross multiply
    5,539.82x = 7,644.80 × 3,021.92
  4. Step 4: Simplify right side
    5,539.82x = 23,101,974.02
  5. Step 5: Solve for x
    x = 23,101,974.02/5,539.82
  6. Step 6: Final answer
    x = 4,170.17

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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.