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Finding the Fourth Proportional to 11,871.21, 17,801.24 and 6,942.36

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Solution

The fourth proportional to 11,871.21, 17,801.24 and 6,942.36 is: 10,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.21 : 17,801.24 = 6,942.36 : x
  2. Step 2: Convert to fraction form
    11,871.21/17,801.24 = 6,942.36/x
  3. Step 3: Cross multiply
    11,871.21x = 17,801.24 × 6,942.36
  4. Step 4: Simplify right side
    11,871.21x = 123,582,581.81
  5. Step 5: Solve for x
    x = 123,582,581.81/11,871.21
  6. Step 6: Final answer
    x = 10,410.28

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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.