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Finding the Fourth Proportional to 9,157.87, 12,638.15 and 5,178.90

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Solution

The fourth proportional to 9,157.87, 12,638.15 and 5,178.90 is: 7,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.87 : 12,638.15 = 5,178.90 : x
  2. Step 2: Convert to fraction form
    9,157.87/12,638.15 = 5,178.90/x
  3. Step 3: Cross multiply
    9,157.87x = 12,638.15 × 5,178.90
  4. Step 4: Simplify right side
    9,157.87x = 65,451,755.95
  5. Step 5: Solve for x
    x = 65,451,755.95/9,157.87
  6. Step 6: Final answer
    x = 7,147.05

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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.