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Finding the Fourth Proportional to 11,759.56, 16,228.70 and 7,042.94

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Solution

The fourth proportional to 11,759.56, 16,228.70 and 7,042.94 is: 9,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.56 : 16,228.70 = 7,042.94 : x
  2. Step 2: Convert to fraction form
    11,759.56/16,228.70 = 7,042.94/x
  3. Step 3: Cross multiply
    11,759.56x = 16,228.70 × 7,042.94
  4. Step 4: Simplify right side
    11,759.56x = 114,297,760.38
  5. Step 5: Solve for x
    x = 114,297,760.38/11,759.56
  6. Step 6: Final answer
    x = 9,719.56

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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.