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Finding the Fourth Proportional to 11,715.72, 17,573.79 and 4,316.37

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Solution

The fourth proportional to 11,715.72, 17,573.79 and 4,316.37 is: 6,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.72 : 17,573.79 = 4,316.37 : x
  2. Step 2: Convert to fraction form
    11,715.72/17,573.79 = 4,316.37/x
  3. Step 3: Cross multiply
    11,715.72x = 17,573.79 × 4,316.37
  4. Step 4: Simplify right side
    11,715.72x = 75,855,013.09
  5. Step 5: Solve for x
    x = 75,855,013.09/11,715.72
  6. Step 6: Final answer
    x = 6,474.63

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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.