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Finding the Fourth Proportional to 7,589.36, 11,379.18 and 3,691.64

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Solution

The fourth proportional to 7,589.36, 11,379.18 and 3,691.64 is: 5,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.36 : 11,379.18 = 3,691.64 : x
  2. Step 2: Convert to fraction form
    7,589.36/11,379.18 = 3,691.64/x
  3. Step 3: Cross multiply
    7,589.36x = 11,379.18 × 3,691.64
  4. Step 4: Simplify right side
    7,589.36x = 42,007,836.06
  5. Step 5: Solve for x
    x = 42,007,836.06/7,589.36
  6. Step 6: Final answer
    x = 5,535.10

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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.