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Finding the Fourth Proportional to 17,715.82, 26,578.09 and 5,235.78

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Solution

The fourth proportional to 17,715.82, 26,578.09 and 5,235.78 is: 7,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.82 : 26,578.09 = 5,235.78 : x
  2. Step 2: Convert to fraction form
    17,715.82/26,578.09 = 5,235.78/x
  3. Step 3: Cross multiply
    17,715.82x = 26,578.09 × 5,235.78
  4. Step 4: Simplify right side
    17,715.82x = 139,157,032.06
  5. Step 5: Solve for x
    x = 139,157,032.06/17,715.82
  6. Step 6: Final answer
    x = 7,854.96

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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.