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Finding the Fourth Proportional to 16,200, 24,304.32 and 7,992

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Solution

The fourth proportional to 16,200, 24,304.32 and 7,992 is: 11,990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200 : 24,304.32 = 7,992 : x
  2. Step 2: Convert to fraction form
    16,200/24,304.32 = 7,992/x
  3. Step 3: Cross multiply
    16,200x = 24,304.32 × 7,992
  4. Step 4: Simplify right side
    16,200x = 194,240,125.44
  5. Step 5: Solve for x
    x = 194,240,125.44/16,200
  6. Step 6: Final answer
    x = 11,990.13

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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.