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Finding the Fourth Proportional to 13,694.96, 20,555.28 and 7,125.80

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Solution

The fourth proportional to 13,694.96, 20,555.28 and 7,125.80 is: 10,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.96 : 20,555.28 = 7,125.80 : x
  2. Step 2: Convert to fraction form
    13,694.96/20,555.28 = 7,125.80/x
  3. Step 3: Cross multiply
    13,694.96x = 20,555.28 × 7,125.80
  4. Step 4: Simplify right side
    13,694.96x = 146,472,814.22
  5. Step 5: Solve for x
    x = 146,472,814.22/13,694.96
  6. Step 6: Final answer
    x = 10,695.38

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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.