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Finding the Fourth Proportional to 5,538.96, 7,644.22 and 3,149.68

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Solution

The fourth proportional to 5,538.96, 7,644.22 and 3,149.68 is: 4,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.96 : 7,644.22 = 3,149.68 : x
  2. Step 2: Convert to fraction form
    5,538.96/7,644.22 = 3,149.68/x
  3. Step 3: Cross multiply
    5,538.96x = 7,644.22 × 3,149.68
  4. Step 4: Simplify right side
    5,538.96x = 24,076,819.86
  5. Step 5: Solve for x
    x = 24,076,819.86/5,538.96
  6. Step 6: Final answer
    x = 4,346.81

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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.