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Finding the Fourth Proportional to 16,740, 23,101.20 and 9,288

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Solution

The fourth proportional to 16,740, 23,101.20 and 9,288 is: 12,817.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,740 : 23,101.20 = 9,288 : x
  2. Step 2: Convert to fraction form
    16,740/23,101.20 = 9,288/x
  3. Step 3: Cross multiply
    16,740x = 23,101.20 × 9,288
  4. Step 4: Simplify right side
    16,740x = 214,563,945.60
  5. Step 5: Solve for x
    x = 214,563,945.60/16,740
  6. Step 6: Final answer
    x = 12,817.44

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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.