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Finding the Fourth Proportional to 5,568.96, 7,685.40 and 3,211.44

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Solution

The fourth proportional to 5,568.96, 7,685.40 and 3,211.44 is: 4,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.96 : 7,685.40 = 3,211.44 : x
  2. Step 2: Convert to fraction form
    5,568.96/7,685.40 = 3,211.44/x
  3. Step 3: Cross multiply
    5,568.96x = 7,685.40 × 3,211.44
  4. Step 4: Simplify right side
    5,568.96x = 24,681,200.98
  5. Step 5: Solve for x
    x = 24,681,200.98/5,568.96
  6. Step 6: Final answer
    x = 4,431.92

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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.