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Finding the Fourth Proportional to 8,832.60, 12,190.14 and 5,697.90

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Solution

The fourth proportional to 8,832.60, 12,190.14 and 5,697.90 is: 7,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.60 : 12,190.14 = 5,697.90 : x
  2. Step 2: Convert to fraction form
    8,832.60/12,190.14 = 5,697.90/x
  3. Step 3: Cross multiply
    8,832.60x = 12,190.14 × 5,697.90
  4. Step 4: Simplify right side
    8,832.60x = 69,458,198.71
  5. Step 5: Solve for x
    x = 69,458,198.71/8,832.60
  6. Step 6: Final answer
    x = 7,863.85

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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.