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Finding the Fourth Proportional to 11,707.99, 17,561.80 and 2,942.91

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Solution

The fourth proportional to 11,707.99, 17,561.80 and 2,942.91 is: 4,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.99 : 17,561.80 = 2,942.91 : x
  2. Step 2: Convert to fraction form
    11,707.99/17,561.80 = 2,942.91/x
  3. Step 3: Cross multiply
    11,707.99x = 17,561.80 × 2,942.91
  4. Step 4: Simplify right side
    11,707.99x = 51,682,796.84
  5. Step 5: Solve for x
    x = 51,682,796.84/11,707.99
  6. Step 6: Final answer
    x = 4,414.32

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Why These Related Problems?

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