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Finding the Fourth Proportional to 22,992, 31,728.99 and 13,056

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Solution

The fourth proportional to 22,992, 31,728.99 and 13,056 is: 18,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992 : 31,728.99 = 13,056 : x
  2. Step 2: Convert to fraction form
    22,992/31,728.99 = 13,056/x
  3. Step 3: Cross multiply
    22,992x = 31,728.99 × 13,056
  4. Step 4: Simplify right side
    22,992x = 414,253,693.44
  5. Step 5: Solve for x
    x = 414,253,693.44/22,992
  6. Step 6: Final answer
    x = 18,017.30

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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.