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Finding the Fourth Proportional to 14,012.96, 19,338.02 and 7,725.56

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Solution

The fourth proportional to 14,012.96, 19,338.02 and 7,725.56 is: 10,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.96 : 19,338.02 = 7,725.56 : x
  2. Step 2: Convert to fraction form
    14,012.96/19,338.02 = 7,725.56/x
  3. Step 3: Cross multiply
    14,012.96x = 19,338.02 × 7,725.56
  4. Step 4: Simplify right side
    14,012.96x = 149,396,898.47
  5. Step 5: Solve for x
    x = 149,396,898.47/14,012.96
  6. Step 6: Final answer
    x = 10,661.34

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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.