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Finding the Fourth Proportional to 16,188, 22,340.36 and 9,114.89

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Solution

The fourth proportional to 16,188, 22,340.36 and 9,114.89 is: 12,579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188 : 22,340.36 = 9,114.89 : x
  2. Step 2: Convert to fraction form
    16,188/22,340.36 = 9,114.89/x
  3. Step 3: Cross multiply
    16,188x = 22,340.36 × 9,114.89
  4. Step 4: Simplify right side
    16,188x = 203,629,766.68
  5. Step 5: Solve for x
    x = 203,629,766.68/16,188
  6. Step 6: Final answer
    x = 12,579.06

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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.