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Finding the Fourth Proportional to 11,800.81, 17,713.50 and 5,231.61

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Solution

The fourth proportional to 11,800.81, 17,713.50 and 5,231.61 is: 7,852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.81 : 17,713.50 = 5,231.61 : x
  2. Step 2: Convert to fraction form
    11,800.81/17,713.50 = 5,231.61/x
  3. Step 3: Cross multiply
    11,800.81x = 17,713.50 × 5,231.61
  4. Step 4: Simplify right side
    11,800.81x = 92,670,123.74
  5. Step 5: Solve for x
    x = 92,670,123.74/11,800.81
  6. Step 6: Final answer
    x = 7,852.86

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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.