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Finding the Fourth Proportional to 11,866.19, 17,800.19 and 3,100.97

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Solution

The fourth proportional to 11,866.19, 17,800.19 and 3,100.97 is: 4,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.19 : 17,800.19 = 3,100.97 : x
  2. Step 2: Convert to fraction form
    11,866.19/17,800.19 = 3,100.97/x
  3. Step 3: Cross multiply
    11,866.19x = 17,800.19 × 3,100.97
  4. Step 4: Simplify right side
    11,866.19x = 55,197,750.68
  5. Step 5: Solve for x
    x = 55,197,750.68/11,866.19
  6. Step 6: Final answer
    x = 4,651.68

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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.