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Finding the Fourth Proportional to 17,143.70, 23,666.94 and 16,228.00

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Solution

The fourth proportional to 17,143.70, 23,666.94 and 16,228.00 is: 22,402.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.70 : 23,666.94 = 16,228.00 : x
  2. Step 2: Convert to fraction form
    17,143.70/23,666.94 = 16,228.00/x
  3. Step 3: Cross multiply
    17,143.70x = 23,666.94 × 16,228.00
  4. Step 4: Simplify right side
    17,143.70x = 384,067,043.15
  5. Step 5: Solve for x
    x = 384,067,043.15/17,143.70
  6. Step 6: Final answer
    x = 22,402.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.