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Finding the Fourth Proportional to 16,992, 23,449.62 and 9,438.90

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Solution

The fourth proportional to 16,992, 23,449.62 and 9,438.90 is: 13,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,992 : 23,449.62 = 9,438.90 : x
  2. Step 2: Convert to fraction form
    16,992/23,449.62 = 9,438.90/x
  3. Step 3: Cross multiply
    16,992x = 23,449.62 × 9,438.90
  4. Step 4: Simplify right side
    16,992x = 221,338,644.49
  5. Step 5: Solve for x
    x = 221,338,644.49/16,992
  6. Step 6: Final answer
    x = 13,026.05

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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.