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Finding the Fourth Proportional to 11,355, 17,033.46 and 3,147

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Solution

The fourth proportional to 11,355, 17,033.46 and 3,147 is: 4,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355 : 17,033.46 = 3,147 : x
  2. Step 2: Convert to fraction form
    11,355/17,033.46 = 3,147/x
  3. Step 3: Cross multiply
    11,355x = 17,033.46 × 3,147
  4. Step 4: Simplify right side
    11,355x = 53,604,298.62
  5. Step 5: Solve for x
    x = 53,604,298.62/11,355
  6. Step 6: Final answer
    x = 4,720.77

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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.