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Finding the Fourth Proportional to 14,016, 19,342.08 and 7,728.96

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Solution

The fourth proportional to 14,016, 19,342.08 and 7,728.96 is: 10,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016 : 19,342.08 = 7,728.96 : x
  2. Step 2: Convert to fraction form
    14,016/19,342.08 = 7,728.96/x
  3. Step 3: Cross multiply
    14,016x = 19,342.08 × 7,728.96
  4. Step 4: Simplify right side
    14,016x = 149,494,162.64
  5. Step 5: Solve for x
    x = 149,494,162.64/14,016
  6. Step 6: Final answer
    x = 10,665.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.