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Finding the Fourth Proportional to 9,179.96, 13,757.60 and 5,013.72

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Solution

The fourth proportional to 9,179.96, 13,757.60 and 5,013.72 is: 7,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.96 : 13,757.60 = 5,013.72 : x
  2. Step 2: Convert to fraction form
    9,179.96/13,757.60 = 5,013.72/x
  3. Step 3: Cross multiply
    9,179.96x = 13,757.60 × 5,013.72
  4. Step 4: Simplify right side
    9,179.96x = 68,976,729.20
  5. Step 5: Solve for x
    x = 68,976,729.20/9,179.96
  6. Step 6: Final answer
    x = 7,513.84

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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.