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Finding the Fourth Proportional to 13,694.92, 20,542.50 and 11,707.63

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Solution

The fourth proportional to 13,694.92, 20,542.50 and 11,707.63 is: 17,561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.92 : 20,542.50 = 11,707.63 : x
  2. Step 2: Convert to fraction form
    13,694.92/20,542.50 = 11,707.63/x
  3. Step 3: Cross multiply
    13,694.92x = 20,542.50 × 11,707.63
  4. Step 4: Simplify right side
    13,694.92x = 240,503,989.28
  5. Step 5: Solve for x
    x = 240,503,989.28/13,694.92
  6. Step 6: Final answer
    x = 17,561.55

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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.