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Finding the Fourth Proportional to 16,681, 23,020.50 and 9,229

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Solution

The fourth proportional to 16,681, 23,020.50 and 9,229 is: 12,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,681 : 23,020.50 = 9,229 : x
  2. Step 2: Convert to fraction form
    16,681/23,020.50 = 9,229/x
  3. Step 3: Cross multiply
    16,681x = 23,020.50 × 9,229
  4. Step 4: Simplify right side
    16,681x = 212,456,194.50
  5. Step 5: Solve for x
    x = 212,456,194.50/16,681
  6. Step 6: Final answer
    x = 12,736.42

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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.