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Finding the Fourth Proportional to 10,728.25, 16,091.73 and 6,373.42

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Solution

The fourth proportional to 10,728.25, 16,091.73 and 6,373.42 is: 9,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.25 : 16,091.73 = 6,373.42 : x
  2. Step 2: Convert to fraction form
    10,728.25/16,091.73 = 6,373.42/x
  3. Step 3: Cross multiply
    10,728.25x = 16,091.73 × 6,373.42
  4. Step 4: Simplify right side
    10,728.25x = 102,559,313.59
  5. Step 5: Solve for x
    x = 102,559,313.59/10,728.25
  6. Step 6: Final answer
    x = 9,559.75

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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.