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Finding the Fourth Proportional to 13,732.63, 18,950.92 and 7,765.47

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Solution

The fourth proportional to 13,732.63, 18,950.92 and 7,765.47 is: 10,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.63 : 18,950.92 = 7,765.47 : x
  2. Step 2: Convert to fraction form
    13,732.63/18,950.92 = 7,765.47/x
  3. Step 3: Cross multiply
    13,732.63x = 18,950.92 × 7,765.47
  4. Step 4: Simplify right side
    13,732.63x = 147,162,781.32
  5. Step 5: Solve for x
    x = 147,162,781.32/13,732.63
  6. Step 6: Final answer
    x = 10,716.29

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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.