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Finding the Fourth Proportional to 14,440.82, 19,917 and 9,406.62

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Solution

The fourth proportional to 14,440.82, 19,917 and 9,406.62 is: 12,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,440.82 : 19,917 = 9,406.62 : x
  2. Step 2: Convert to fraction form
    14,440.82/19,917 = 9,406.62/x
  3. Step 3: Cross multiply
    14,440.82x = 19,917 × 9,406.62
  4. Step 4: Simplify right side
    14,440.82x = 187,351,650.54
  5. Step 5: Solve for x
    x = 187,351,650.54/14,440.82
  6. Step 6: Final answer
    x = 12,973.76

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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.