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Finding the Fourth Proportional to 11,337, 16,989.09 and 6,396.20

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Solution

The fourth proportional to 11,337, 16,989.09 and 6,396.20 is: 9,585.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337 : 16,989.09 = 6,396.20 : x
  2. Step 2: Convert to fraction form
    11,337/16,989.09 = 6,396.20/x
  3. Step 3: Cross multiply
    11,337x = 16,989.09 × 6,396.20
  4. Step 4: Simplify right side
    11,337x = 108,665,532.51
  5. Step 5: Solve for x
    x = 108,665,532.51/11,337
  6. Step 6: Final answer
    x = 9,585.03

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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.