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Finding the Fourth Proportional to 5,861.14, 8,772.60 and 3,188.70

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Solution

The fourth proportional to 5,861.14, 8,772.60 and 3,188.70 is: 4,772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.14 : 8,772.60 = 3,188.70 : x
  2. Step 2: Convert to fraction form
    5,861.14/8,772.60 = 3,188.70/x
  3. Step 3: Cross multiply
    5,861.14x = 8,772.60 × 3,188.70
  4. Step 4: Simplify right side
    5,861.14x = 27,973,189.62
  5. Step 5: Solve for x
    x = 27,973,189.62/5,861.14
  6. Step 6: Final answer
    x = 4,772.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.