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Finding the Fourth Proportional to 30,996.80, 42,775.08 and 16,850

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Solution

The fourth proportional to 30,996.80, 42,775.08 and 16,850 is: 23,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996.80 : 42,775.08 = 16,850 : x
  2. Step 2: Convert to fraction form
    30,996.80/42,775.08 = 16,850/x
  3. Step 3: Cross multiply
    30,996.80x = 42,775.08 × 16,850
  4. Step 4: Simplify right side
    30,996.80x = 720,760,098
  5. Step 5: Solve for x
    x = 720,760,098/30,996.80
  6. Step 6: Final answer
    x = 23,252.73

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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.