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Finding the Fourth Proportional to 7,665.33, 11,519.87 and 3,772.47

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Solution

The fourth proportional to 7,665.33, 11,519.87 and 3,772.47 is: 5,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.33 : 11,519.87 = 3,772.47 : x
  2. Step 2: Convert to fraction form
    7,665.33/11,519.87 = 3,772.47/x
  3. Step 3: Cross multiply
    7,665.33x = 11,519.87 × 3,772.47
  4. Step 4: Simplify right side
    7,665.33x = 43,458,345.12
  5. Step 5: Solve for x
    x = 43,458,345.12/7,665.33
  6. Step 6: Final answer
    x = 5,669.47

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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.