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Finding the Fourth Proportional to 11,674.99, 16,129.05 and 7,651.38

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Solution

The fourth proportional to 11,674.99, 16,129.05 and 7,651.38 is: 10,570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.99 : 16,129.05 = 7,651.38 : x
  2. Step 2: Convert to fraction form
    11,674.99/16,129.05 = 7,651.38/x
  3. Step 3: Cross multiply
    11,674.99x = 16,129.05 × 7,651.38
  4. Step 4: Simplify right side
    11,674.99x = 123,409,579.77
  5. Step 5: Solve for x
    x = 123,409,579.77/11,674.99
  6. Step 6: Final answer
    x = 10,570.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.