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Finding the Fourth Proportional to 31,663.89, 43,695.99 and 17,516.43

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Solution

The fourth proportional to 31,663.89, 43,695.99 and 17,516.43 is: 24,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,663.89 : 43,695.99 = 17,516.43 : x
  2. Step 2: Convert to fraction form
    31,663.89/43,695.99 = 17,516.43/x
  3. Step 3: Cross multiply
    31,663.89x = 43,695.99 × 17,516.43
  4. Step 4: Simplify right side
    31,663.89x = 765,397,750.12
  5. Step 5: Solve for x
    x = 765,397,750.12/31,663.89
  6. Step 6: Final answer
    x = 24,172.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.