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Finding the Fourth Proportional to 10,091.01, 13,930.47 and 6,921.48

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Solution

The fourth proportional to 10,091.01, 13,930.47 and 6,921.48 is: 9,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.01 : 13,930.47 = 6,921.48 : x
  2. Step 2: Convert to fraction form
    10,091.01/13,930.47 = 6,921.48/x
  3. Step 3: Cross multiply
    10,091.01x = 13,930.47 × 6,921.48
  4. Step 4: Simplify right side
    10,091.01x = 96,419,469.50
  5. Step 5: Solve for x
    x = 96,419,469.50/10,091.01
  6. Step 6: Final answer
    x = 9,554.99

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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.