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Finding the Fourth Proportional to 11,610.11, 16,021.78 and 6,574.20

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Solution

The fourth proportional to 11,610.11, 16,021.78 and 6,574.20 is: 9,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.11 : 16,021.78 = 6,574.20 : x
  2. Step 2: Convert to fraction form
    11,610.11/16,021.78 = 6,574.20/x
  3. Step 3: Cross multiply
    11,610.11x = 16,021.78 × 6,574.20
  4. Step 4: Simplify right side
    11,610.11x = 105,330,309.56
  5. Step 5: Solve for x
    x = 105,330,309.56/11,610.11
  6. Step 6: Final answer
    x = 9,072.29

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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.