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Finding the Fourth Proportional to 11,458.23, 17,189.93 and 5,216.57

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Solution

The fourth proportional to 11,458.23, 17,189.93 and 5,216.57 is: 7,826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.23 : 17,189.93 = 5,216.57 : x
  2. Step 2: Convert to fraction form
    11,458.23/17,189.93 = 5,216.57/x
  3. Step 3: Cross multiply
    11,458.23x = 17,189.93 × 5,216.57
  4. Step 4: Simplify right side
    11,458.23x = 89,672,361.11
  5. Step 5: Solve for x
    x = 89,672,361.11/11,458.23
  6. Step 6: Final answer
    x = 7,826.02

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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.