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Finding the Fourth Proportional to 12,201.78, 16,840.02 and 7,167.90

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Solution

The fourth proportional to 12,201.78, 16,840.02 and 7,167.90 is: 9,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.78 : 16,840.02 = 7,167.90 : x
  2. Step 2: Convert to fraction form
    12,201.78/16,840.02 = 7,167.90/x
  3. Step 3: Cross multiply
    12,201.78x = 16,840.02 × 7,167.90
  4. Step 4: Simplify right side
    12,201.78x = 120,707,579.36
  5. Step 5: Solve for x
    x = 120,707,579.36/12,201.78
  6. Step 6: Final answer
    x = 9,892.62

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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.