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Finding the Fourth Proportional to 11,458.72, 17,189.16 and 3,665.68

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Solution

The fourth proportional to 11,458.72, 17,189.16 and 3,665.68 is: 5,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.72 : 17,189.16 = 3,665.68 : x
  2. Step 2: Convert to fraction form
    11,458.72/17,189.16 = 3,665.68/x
  3. Step 3: Cross multiply
    11,458.72x = 17,189.16 × 3,665.68
  4. Step 4: Simplify right side
    11,458.72x = 63,009,960.03
  5. Step 5: Solve for x
    x = 63,009,960.03/11,458.72
  6. Step 6: Final answer
    x = 5,498.87

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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.