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Finding the Fourth Proportional to 14,467.36, 19,964.96 and 8,179.68

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Solution

The fourth proportional to 14,467.36, 19,964.96 and 8,179.68 is: 11,287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467.36 : 19,964.96 = 8,179.68 : x
  2. Step 2: Convert to fraction form
    14,467.36/19,964.96 = 8,179.68/x
  3. Step 3: Cross multiply
    14,467.36x = 19,964.96 × 8,179.68
  4. Step 4: Simplify right side
    14,467.36x = 163,306,984.01
  5. Step 5: Solve for x
    x = 163,306,984.01/14,467.36
  6. Step 6: Final answer
    x = 11,287.96

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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.