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Finding the Fourth Proportional to 11,891.70, 17,837.70 and 5,652.36

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Solution

The fourth proportional to 11,891.70, 17,837.70 and 5,652.36 is: 8,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.70 : 17,837.70 = 5,652.36 : x
  2. Step 2: Convert to fraction form
    11,891.70/17,837.70 = 5,652.36/x
  3. Step 3: Cross multiply
    11,891.70x = 17,837.70 × 5,652.36
  4. Step 4: Simplify right side
    11,891.70x = 100,825,101.97
  5. Step 5: Solve for x
    x = 100,825,101.97/11,891.70
  6. Step 6: Final answer
    x = 8,478.61

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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.