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Finding the Fourth Proportional to 16,791.68, 23,178.20 and 10,422.00

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Solution

The fourth proportional to 16,791.68, 23,178.20 and 10,422.00 is: 14,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,791.68 : 23,178.20 = 10,422.00 : x
  2. Step 2: Convert to fraction form
    16,791.68/23,178.20 = 10,422.00/x
  3. Step 3: Cross multiply
    16,791.68x = 23,178.20 × 10,422.00
  4. Step 4: Simplify right side
    16,791.68x = 241,563,110.56
  5. Step 5: Solve for x
    x = 241,563,110.56/16,791.68
  6. Step 6: Final answer
    x = 14,385.89

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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.