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Finding the Fourth Proportional to 12,912.48, 19,392.48 and 7,992

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Solution

The fourth proportional to 12,912.48, 19,392.48 and 7,992 is: 12,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.48 : 19,392.48 = 7,992 : x
  2. Step 2: Convert to fraction form
    12,912.48/19,392.48 = 7,992/x
  3. Step 3: Cross multiply
    12,912.48x = 19,392.48 × 7,992
  4. Step 4: Simplify right side
    12,912.48x = 154,984,700.16
  5. Step 5: Solve for x
    x = 154,984,700.16/12,912.48
  6. Step 6: Final answer
    x = 12,002.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.