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Finding the Fourth Proportional to 13,883.38, 20,826.69 and 7,309.42

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Solution

The fourth proportional to 13,883.38, 20,826.69 and 7,309.42 is: 10,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.38 : 20,826.69 = 7,309.42 : x
  2. Step 2: Convert to fraction form
    13,883.38/20,826.69 = 7,309.42/x
  3. Step 3: Cross multiply
    13,883.38x = 20,826.69 × 7,309.42
  4. Step 4: Simplify right side
    13,883.38x = 152,231,024.42
  5. Step 5: Solve for x
    x = 152,231,024.42/13,883.38
  6. Step 6: Final answer
    x = 10,964.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.