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Finding the Fourth Proportional to 11,900.40, 17,843.40 and 5,325.36

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Solution

The fourth proportional to 11,900.40, 17,843.40 and 5,325.36 is: 7,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.40 : 17,843.40 = 5,325.36 : x
  2. Step 2: Convert to fraction form
    11,900.40/17,843.40 = 5,325.36/x
  3. Step 3: Cross multiply
    11,900.40x = 17,843.40 × 5,325.36
  4. Step 4: Simplify right side
    11,900.40x = 95,022,528.62
  5. Step 5: Solve for x
    x = 95,022,528.62/11,900.40
  6. Step 6: Final answer
    x = 7,984.82

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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.